title: Nuclear models and neutrino cross sections

abstract:
  Merits and faults of the effective theory Random Phase Approximations are
discussed in the perspective of its use in the prediction of neutrino-nucleus
cross sections.


title:
Inelastic form factors to alpha particle condensate states in 12C and
  16O: what can we learn ?

abstract:
  In order to discuss the spatial extention of the second 0+ state of 12C
(Hoyle state), we analyze the inelastic form factor of electron scattering to
the Hoyle state, which our 3 alpha condensate wave function reproduces very
well like previous 3 alpha RGM/GCM models. The analysis is made by varying the
size of the Hoyle state artificially. As a result, we find that only the
maximum value of the form factor sensitively depends on its size, while the
positions of maximum and minimum are almost unchanged. This size dependence is
found to come from a characteristic feature of the transition density from the
ground state to the Hoyle state. We further show the theoretical predictions of
the inelastic form factor to the second 2+ state of 12C, which was recently
observed above the Hoyle state, and of the inelastic form factor to the
calculated third 0+ state of 16O, which was conjectured to correspond to the 4
alpha condensed state in previous theoretical work by the present authors.


title: Antiproton Absorption in Nuclei

abstract:
  We present the analysis of experimental data on forward antiproton production
on nuclei. The calculations are done in the framework of a folding model which
takes properly into account both incoherent direct proton-nucleon and cascade
pion-nucleon antiproton production processes as well as internal nucleon
momentum distribution. The effective antiproton-nucleon cross section in
nuclear matter and the imaginary part of the antiproton nuclear optical
potential are estimated to be 25-45 mb and -(38-56) MeV at normal nuclear
matter density, respectively. The results of the performed analysis evidence
for the decreasing of antiproton absorption in the nuclear medium.


title: Hints on the quadrupole deformation of the $\Delta$(1232)

abstract:
  The E2/M1 ratio (EMR) of the $\Delta$(1232) is extracted from the world data
in pion photoproduction by means of an Effective Lagrangian Approach (ELA).This
quantity has been derived within a crossing symmetric, gauge invariant, and
chiral symmetric Lagrangian model which also contains a consistent modern
treatment of the $\Delta$(1232) resonance. The \textit{bare} s-channel
$\Delta$(1232) contribution is well isolated and Final State Interactions (FSI)
are effectively taken into account fulfilling Watson's theorem. The obtained
EMR value, EMR$=(-1.30\pm0.52)$%, is in good agreement with the latest lattice
QCD calculations [Phys. Rev. Lett. 94, 021601 (2005)] and disagrees with
results of current quark model calculations.


title: Phases of Dense Quark Matter and the Structure of Compact Objects

abstract:
  The presence of quark matter in neutron stars may affect several neutron star
observables and the neutrino signal in core-collapse supernovae. These
observables are sensitive to the phase of quark matter that is present in
compact objects. We present the first calculation of the phase structure of
dense quark matter which includes a six-fermion color-superconducting
interaction and show that the effect of this term can destabilize the pairing
interaction, favoring phases where fewer quarks are paired. In turn, this
modification of the phase structure can modify the neutrino signal, the
structure of the neutron star, and the long-term cooling. We also show that,
contrary to the 20-year old paradigm of the surface structure of the
"strange-quark stars", the surface of these objects may consist of nuggets of
strange quark matter screened by the electron gas.


title:
Formula for proton-nucleus reaction cross section at intermediate
  energies and its application

abstract:
  We construct a formula for proton-nucleus total reaction cross section as a
function of the mass and neutron excess of the target nucleus and the proton
incident energy. We deduce the dependence of the cross section on the mass
number and the proton incident energy from a simple argument involving the
proton optical depth within the framework of a black sphere approximation of
nuclei, while we describe the neutron excess dependence by introducing the
density derivative of the symmetry energy, L, on the basis of a radius formula
constructed from macroscopic nuclear models. We find that the cross section
formula can reproduce the energy dependence of the cross section measured for
stable nuclei without introducing any adjustable energy dependent parameter. We
finally discuss whether or not the reaction cross section is affected by an
extremely low density tail of the neutron distribution for halo nuclei.


title: Large-Scale Self-Consistent Nuclear Mass Calculations

abstract:
  The program of systematic large-scale self-consistent nuclear mass
calculations that is based on the nuclear density functional theory represents
a rich scientific agenda that is closely aligned with the main research
directions in modern nuclear structure and astrophysics, especially the
radioactive nuclear beam physics. The quest for the microscopic understanding
of the phenomenon of nuclear binding represents, in fact, a number of
fundamental and crucial questions of the quantum many-body problem, including
the proper treatment of correlations and dynamics in the presence of symmetry
breaking. Recent advances and open problems in the field of nuclear mass
calculations are presented and discussed.


title:
Collective excitations and energy-weighted sum rules in relativistic
  random phase approximation with vacuum polarization

abstract:
  The isoscalar and isovector collective multipole excitations in stable nuclei
are studied in the framework of relativistic random-phase approximation with
the vacuum polarization arising from the nucleon-antinucleon field. A fully
self-consistent calculation which guarantees the decoupling of the spurious
state and the conservation of the multipole-transition current is carried out
by using the derivative-expansion method for the description of the vacuum
contribution. A remarkable effect of the inclusion of the vacuum polarization
is the increase of the effective mass, $m^*/m_N \sim 0.8$; for all multipole
modes, the energy-weighted sum rule values with the vacuum polarization are
smaller than those of the relativistic model without the vacuum polarization,
which typically has the effective mass $m^*/m_N \sim 0.6$. Also, the present
model can give an excellent agreement with experimental data on the excitation
energy, in particular, for the isoscalar quadrupole resonances in which it was
previously reported that the calculated energies in the relativistic model are
about 1-2 MeV above the experimental values. It is shown, further, that the
change of the shell structure due to the inclusion of the vacuum polarization
plays an important role in the improvement of the discrepancies seen in the
dipole compression modes. On the other hand, the isoscalar monopole resonance
has a similar peak whether or not the vacuum polarization is taken into
account, if the compression modulus is kept the same in the analysis.


title:
Theory of competition between fusion and quasi-fission in a heavy fusing
  system

abstract:
  A theory of the competition between fusion and quasi-fission in a heavy
fusing system is proposed, which is based on a master equation and the
two-center shell model. Fusion and quasi-fission arise from a diffusion process
in an ensemble of nuclear shapes, each of which evolves towards the thermal
equilibrium. The master equation describes the diffusion of the nuclear shapes
due to quantum and thermal fluctuations. Other crucial physical effects like
dissipation, ground-state shell effects, diabatic effects and rotational
effects are also incorporated into the theory. The fusing system moves in a
dynamical (time-dependent) collective potential energy surface which is
initially diabatic and gradually becomes adiabatic. The microscopic ingredients
of the theory are obtained with a realistic two-center shell model based on
Woods-Saxon potentials. Numerical calculations for several reactions leading to
$^{256}$No are discussed. Among other important conclusions, the results
indicate that (i) the diabatic effects play a very important role in the onset
of fusion hindrance for heavy systems, and (ii) very asymmetric reactions
induced by closed shell nuclei seem to be the best suited to synthesize the
heaviest compound nuclei.


title: Occurrence of Hyperon Superfluidity in Neutron Star Cores

abstract:
  Superfluidity of $\Lambda$ and $\Sigma^-$ admixed in neutron star (NS) cores
is investigated realistically for hyperon ($Y$)-mixed NS models obtained using
a $G$-matrix-based effective interaction approach. Numerical results for the
equation of state (EOS) with the mixing ratios of the respective components and
the hyperon energy gaps including the temperature dependence are presented.
These are meant to serve as physical inputs for $Y$-cooling calculations of
NSs. By paying attention to the uncertainties of the EOS and the $YY$
interactions, it is shown that both $\Lambda$ and $\Sigma^-$ are superfluid as
soon as they appear although the magnitude of the critical temperature and the
density region where superfluidity exists depend considerably on the $YY$
pairing potential. Considering momentum triangle condition and the occurrence
of superfluidity, it is found that a so-called `` hyperon
cooling\rq\rq~(neutrino-emission from direct Urca process including $Y$)
combined with $Y$-superfluidity may be able to account for observations of the
colder class of NSs. It is remarked that $\Lambda$-hyperons play a decisive
role in the hyperon cooling scenario. Some comments are given regarding the
consequences of the less attractive $\Lambda\Lambda$ interaction recently
suggested by the `` NAGARA event\rq\rq~$^6_{\Lambda\Lambda}$He.


title: Density Matrix Renormalization Group and the Nuclear Shell Model

abstract:
  We describe the use of the Density Matrix Renormalization Group method as a
means of approximately solving large-scale nuclear shell-model problems. We
focus on an angular-momentum-conserving variant of the method and report test
results for the nucleus $^{48}Cr$. The calculation is able to reproduce both
the ground state energy and the energy of the first excited state, by
diagonalizing matrices much smaller than those of the full shell model.


title:
Nuclear Effects in Neutrino Induced Coherent Pion Production at K2K and
  MiniBooNE Neutrino Energies

abstract:
  The coherent pion production induced by neutrinos in nuclei is studied using
a delta hole model in local density approximation taking into account the
renormalization of $\Delta$ properties in a nuclear medium. The pion absorption
effects have been included in an eikonal approximation. These effects give a
large reduction in the total cross section. The numerical results for the total
cross section are found to be consistent with recent experimental results from
K2K and MiniBooNE collaborations and other older experiments in the
intermediate energy region.


title: Influence of the projectile description on breakup calculations

abstract:
  Calculations of the breakup of 8B and 11Be are performed with the aim of
analyzing their sensitivity to the projectile description. Several potentials
adjusted on the same experimental data are used for each projectile. The
results vary significantly with the potential choice, and this sensitivity
differs from one projectile to the other. In the 8B case, the breakup cross
section is approximately scaled by the asymptotic normalization coefficient of
the initial bound state (ANC). For $^{11}$Be, the overall normalization of the
breakup cross section is no longer solely determined by the ANC. The partial
waves describing the continuum are found to play a significant role in this
variation, as the sensitivity of the phase shifts to the projectile description
changes with the physical constraints imposed to the potential.


title:
Medium modifications of the nucleon-nucleon elastic cross section in
  neutron-rich intermediate energy HICs

abstract:
  Several observables of unbound nucleons which are to some extent sensitive to
the medium modifications of nucleon-nucleon elastic cross sections in
neutron-rich intermediate energy heavy ion collisions are investigated. The
splitting effect of neutron and proton effective masses on cross sections is
discussed. It is found that the transverse flow as a function of rapidity, the
$Q_{zz}$ as a function of momentum, and the ratio of halfwidths of the
transverse to that of longitudinal rapidity distribution $R_{t/l}$ are very
sensitive to the medium modifications of the cross sections. The transverse
momentum distribution of correlation functions of two-nucleons does not yield
information on the in-medium cross section.


title: Gluonic Structures of Tetraquarks

abstract:
  We formulate quantitative flux-tube overlap functions to account for the
nonperturbative gluonic behaviors. In order to deduce systematic functional
form, we introduce connection amplitude which can be defined between two
boundary points occupied by quark or antiquark. With the deduced flux-tube
overlap function, we can figure out long range gluonic structures of various
quark combinations. In this paper, we report our calculated results for
tetraquarks, $q^2 \bar{q}^2$, by considering two different configurations of
boundary points for possible explanations of X(3872).


title:
Elliptic Flow Analysis at RHIC with the Lee-Yang Zeroes Method in a
  Relativistic Transport Approach

abstract:
  The Lee-Yang zeroes method is applied to study elliptic flow ($v_2$) in Au+Au
collisions at $\sqrt{s}=200A$~GeV, with the UrQMD model. In this transport
approach, the true event plane is known and both the nonflow effects and
event-by-event $v_2$ fluctuations exist. Although the low resolutions prohibit
the application of the method for most central and peripheral collisions, the
integral and differential elliptic flow from the Lee-Yang zeroes method agrees
with the exact $v_2$ values very well for semi-central collisions.


title:
Dependence of nuclear magnetic moments on quark masses and limits on
  temporal variation of fundamental constants from atomic clock experiments

abstract:
  We calculate the dependence of the nuclear magnetic moments on the quark
masses including the spin-spin interaction effects and obtain limits on the
variation of the fine structure constant $\alpha$ and $(m_q/\Lambda_{QCD})$
using recent atomic clock experiments examining hyperfine transitions in H, Rb,
Cs, Yb$^+$ and Hg$^+$ and the optical transition in H, Hg$^+$ and Yb$^+$ .


title: Phase-space methods in nuclear reactions around the Fermi energy

abstract:
  Some prescriptions for in-medium complex particle production in nuclear
reactions are proposed. They have been implemented in two models to simulate
nucleon-nucleus (nIPSE) and nucleus-nucleus (HIPSE) reactions around the Fermi
energy \cite{Lac04,Lac05}. Our work emphasizes the effect of randomness in
cluster formation, the importance of the nucleonic Fermi motion as well as the
role of conservation laws. The key role of the phase-space exploration before
and after secondary decay is underlined. This is illustrated in the case of two
debated issues: the memory loss of the entrance channel in central collisions
and the $(N,Z)$ partitions after the pre-equilibrium stage.


title: Neutrino-nucleus quasi-elastic scattering and strange quark effects

abstract:
  A relativistic distorted-wave impulse-approximation model is applied to
quasi-elastic neutrino-nucleus scattering. The bound state is obtained in the
framework of the relativistic mean field theory and the final state interaction
is taken into account in the scattering state. Results for the charged- and
neutral-current neutrino (antineutrino) reactions on $^{12}$C target nucleus
are presented and the sensitivity of various quantities to the strange quark
content of the nucleon weak current is discussed.


title:
Dynamical coupled-channel approach to hadronic and electromagnetic
  production of kaon-hyperon on the proton

abstract:
  A dynamical coupled-channel formalism for processes $\pi N \to KY$ and
$\gamma N \to KY$ is presented which provides a comprehensive investigation of
recent data on the $\gamma p \to K^+ \Lambda$ reaction. The non-resonant
interactions within the subspace $KY\oplus\pi N$ are derived from effective
Lagrangians, using a unitary transformation method. The calculations of
photoproduction amplitudes are simplified by casting the coupled-channel
equations into a form such that the empirical $\gamma N \to \pi N$ amplitudes
are input and only the parameters associated with the $KY$ channel are
determined by performing $\chi^2$-fits to all of the available data for $\pi^-
p \to K^\circ\Lambda, K^\circ\Sigma^\circ$ and $\gamma p \to K^+\Lambda$. Good
agreement between our models and those data are obtained. In the fits to $\pi N
\to KY$ channels, most of the parameters are constrained within $\pm 20%$ of
the values given by the Particle Data Group and/or quark model predictions,
while for $\gamma p \to K^+ \Lambda$ parameters, ranges compatible with broken
$SU(6)\otimes O(3)$ symmetry are imposed. The main reaction mechanisms in $K^+
\Lambda$ photoproduction are singled out and issues related to newly suggested
resonances $S_{11}$, $P_{13}$, and $D_{13}$ are studied. Results illustrating
the importance of using a coupled-channel treatment are reported. Meson cloud
effects on the $\gamma N \to N^*$ transitions are also discussed.


title:
Pairing renormalization and regularization within the local density
  approximation

abstract:
  We discuss methods used in mean-field theories to treat pairing correlations
within the local density approximation. Pairing renormalization and
regularization procedures are compared in spherical and deformed nuclei. Both
prescriptions give fairly similar results, although the theoretical motivation,
simplicity, and stability of the regularization procedure makes it a method of
choice for future applications.


title: Continuum coupling and spectroscopic properties of nuclei

abstract:
  The nucleus is a correlated open quantum many-body system. The presence of
states that are unbound to particle emission may have significant impact on
spectroscopic properties of nuclei, especially those close to the particle drip
lines. In the framework of the continuum shell model in the complex
momentum-plane, we discuss salient effects of the continuum coupling on the
spectroscopic factors, one-neutron overlap integrals, and energies of excited
states in $^{6}$He and $^{18}$O. We demonstrate the presence of
non-perturbative threshold effects in many-body wave functions of weakly-bound
and unbound states.


title: Microscopic theory of the two-proton radioactivity

abstract:
  We formulate theory of the two-proton radioactivity based on the real-energy
continuum shell model. This microscopic approach is applied to describe the
two-proton decay of the $1^-_2$ state in $^{18}$Ne.


title: The pi N -> pi pi N reaction around the N(1440) energy

abstract:
  We study the pi N -> pi pi N reaction around the N(1440) mass-shell energy.
Considering the total cross sections and invariant mass distributions, we
discuss the role of N(1440) and its decay processes. The calculation is
performed by extending our previous approach [Phys. Rev. C 69, 025206 (2004)]
to this reaction, in which only the nucleon and Delta(1232) were considered as
intermediate baryon states. The characteristics observed in the recent data for
the pi- p -> pi0 pi0 n reaction obtained by Crystal Ball Collaboration (CBC),
can be understood as a strong interference between the two decay processes:
N(1440) -> pi Delta(1232) and N(1440) -> N(pi pi)_S. It is also found that the
scalar-isoscalar pi pi rescattering effect in the NN*(pi pi)_S vertex, which
corresponds to the propagation of sigma meson, seems to be necessary for
explain ing the several observables of the pi N -> pi pi N reaction: the large
asymmetric shape in the pi0-pi0 invariant mass distributions of the pi- p ->
pi0 pi0 n reaction and the pi+ p -> pi+ pi+ n total cross section.


title: Binding of charmonium with two- and three-body nuclei

abstract:
  The energies of the (eta_c d) and (eta_c 3He) bound states are calculated on
the basis of exact three- and four-body AGS equations. For the eta_c N
interaction a Yukawa-type potential has been adopted. The calculations are done
for a certain range of its strength parameter. The results obtained are quite
different from calculations based on the folding model.


title: Dilepton production at HADES: theoretical predictions

abstract:
  Dileptons represent a unique probe for nuclear matter under extreme
conditions reached in heavy-ion collisions. They allow to study meson
properties, like mass and decay width, at various density and temperature
regimes. Present days models allow generally a good description of dilepton
spectra in ultra-relativistic heavy ion collision. For the energy regime of a
few GeV/nucleon, important discrepancies between theory and experiment, known
as the DLS puzzle, have been observed. Various models, including the one
developed by the T\"{u}bingen group, have tried to address this problem, but
have proven only partially successful. High precision spectra of dilepton
emission in heavy-ion reactions at 1 and 2 GeV/nucleon will be released in the
near future by the HADES Collaboration at GSI. Here we present the predictions
for dilepton spectra in C+C reactions at 1 and 2 GeV/nucleon and investigate up
to what degree possible scenarios for the in-medium modification of vector
mesons properties are accessible by the HADES experiment.


title:
IBM-2 configuration mixing and its geometric interpretation for
  germanium isotopes

abstract:
  The low-energy spectra, electric quadrupole transitions and moments for the
germanium isotopes are studied in the formalism of the IBM-2 with configuration
mixing. The calculated observables reproduce well the available experimental
information, including the newly obtained data for radioactive neutron-rich 78,
80, 82 Ge isotopes. A geometric interpretation of the model was established
using a matrix formulation. The two energy surfaces determined after mixing
carry information about the deformation parameters of the nucleus. Tor the
even-even Ge isotopes the results are consistent with the shape transition that
takes place around neutron number N=40.


title: Structure of and E2 transition in $^{16}$C in a $^{14}$C+n+n model

abstract:
  A three-body model of $^{14}$C+n+n is applied to study the energy spectrum
and the hindered $E$2 transition in $^{16}$C. A realistic two-nucleon potential
is used for the valence neutrons. Both spin singlet and triplet components for
the neutrons are taken into account. The three-body problem with a Pauli
constraint is solved in a stochastic variational method. For the n-$^{14}$C
potential chosen to reproduce the properties of $^{15}$C, the low-lying energy
spectrum agrees reasonably well with experiment, but the ground state is
predicted to be about 1 MeV high. The calculated $B(E2$; $2_1^+ \to 0^+_1)$
value is about twice the measured value if the polarization charge of the
valence neutrons is taken to be the same as that required to fit the $^{15}$C
data. The correlated motion of the valence neutrons is displayed through the
two-neutron density distribution.


title: Canonical suppression in microscopic transport models

abstract:
  We demonstrate the occurrence of canonical suppression associated with the
conservation of an U(1)-charge in current transport models. For this study a
pion gas is simulated within two different transport approaches by
incorporating inelastic and volume-limited collisions $\pi\pi\leftrightarrow
K\bar{K}$ for the production of kaon pairs. Both descriptions can dynamically
account for the suppression in the yields of rare strange particles in a
limited box, being in full accordance with a canonical statistical description.


title:
Calculation of two-photon exchange effects for $\Delta$ production in
  electron-proton collisions

abstract:
  We present an evaluation of a two-photon exchange correction to the cross
section for unpolarized $\Delta$ isobar production in electron-proton
collisions, using a relativistic, crossing symmetric and gauge invariant
approach. The calculated box and crossed-box diagrams include nucleon and
$\Delta$ intermediate states. We find a relation between the angular
nonlinearity of the two-photon exchange contribution and the value of the
$\gamma \Delta \Delta$ coupling constant.


title: Pair counting, pion-exchange forces, and the structure of light nuclei

abstract:
  A simple but useful guide for understanding the structure of light nuclei is
presented. It is based on counting the number of interacting pairs in different
spin-isospin (S,T) states for a given spatial symmetry, and estimating the
overall binding according to the sum of sigma_i.sigma_j tau_i.tau_j expectation
values, as suggested by one-pion-exchange. Applied to s- and p-shell nuclei,
this simple picture accounts for the relative stability of nuclei as A
increases and as T changes across isobars, the saturation of nuclear binding in
the p-shell, and the tendency to form d, t, or alpha subclusters there. With
allowance for pairwise tensor and spin-orbit forces, which are also generated
or boosted by pion-exchange, the model explains why mixing of different spatial
symmetries in ground states increases as T increases across isobars, and why
for states of the same spatial symmetry, the ones with greater S are lower in
the spectrum. The ordering of some sd-shell intruder levels can also be
understood. The success of this simple model supports the idea that
one-pion-exchange is the dominant force controlling the structure of light
nuclei.


title: Neutron star properties and the equation of state of neutron-rich matter

abstract:
  We calculate total masses and radii of neutron stars (NS) for pure neutron
matter and nuclear matter in beta-equilibrium. We apply a relativistic nuclear
matter equation of state (EOS) derived from Dirac-Brueckner-Hartree-Fock (DBHF)
calculations. We use realistic nucleon-nucleon (NN) interactions defined in the
framework of the meson exchange potential models. Our results are compared with
other theoretical predictions and recent observational data. Suggestions for
further study are discussed.


title: A new method of measurement of the velocities of solar neutrinos

abstract:
  A new method of measurement of the velocities of solar electron antineutrinos
is proposed. The method is based on the assumption, that if the neutrino
detector having a shape of a pipe and providing a proper angular resolution, is
directed onto the optical "image" of the sun, then it would detect solar
neutrinos with velocities $V_{\widetilde{\nu}_{e}}$ $=c$. Here c is the
velocity of light. It is expected that the less is the value of $V_{\widetilde
{\nu}_{e}}$, the larger would be the angular lagging of the "image" of these
neutrinos relative to the position of the optical "image" of the sun.
Therefore, one can detect solar neutrinos with different energies by changing
the angle between the axis of a detector pipe and the direction to the "image"
of the sun. Also, the method gives unique possibility to check hypotheses
predicting an existence of solar neutrinos with $V_{\widetilde{\nu}_{e}}>c$. In
this case the "image" of such solar neutrinos on the sky should pass the
"image" of the sun.


title:
Systematic study of isoscaling behavior in projectile fragmentation by
  the statistical abrasion-ablation model

abstract:
  The isospin effect and isoscaling behavior in projectile fragmentation have
been systematically investigated by a modified statistical abrasion-ablation
(SAA) model. The normalized peak differences and reduced isoscaling parameters
are found to decrease with ($Z_{proj}-Z$)/$Z_{proj}$ or the excitation energy
per nucleon and have no significant dependence on the size of reaction systems.
Assuming a Fermi-gas behavior, the excitation energy dependence of the symmetry
energy coefficients are tentatively extracted from $\alpha$ and $\beta$ which
looks consistent with the experimental data. It is pointed out that the reduced
isoscaling parameters can be used as an observable to study excitation extent
of system and asymmetric nuclear equation of state in heavy ion collisions.


title: Neutrino-nucleus reactions in the energy range 1-100 MeV

abstract:
  We review some salient aspects of calculations of the neutrino-nucleus
reaction cross sections in the low energy range (1-100 MeV).


title: Dynamical model of electroweak pion production in the resonance region

abstract:
  In this report, we will briefly review the dynamical model of pion
electroweak production reactions in the $\Delta$ resonance region and report on
our study of neutrino-nucleus reactions based on this model.


title: Systematics of proton emission

abstract:
  A very simple formula is presented that relates the logarithm of the
half-life, corrected by the centrifugal barrier, with the Coulomb parameter in
proton decay processes. The corresponding experimental data lie on two straight
lines which appear as a result of a sudden change in the nuclear shape marking
two regions of deformation independently of the angular momentum of the
outgoing proton. This feature provides a powerful tool to assign experimentally
quantum numbers in proton emitters.


title: Hadron Physics and Dyson-Schwinger Equations

abstract:
  Detailed investigations of the structure of hadrons are essential for
understanding how matter is constructed from the quarks and gluons of QCD, and
amongst the questions posed to modern hadron physics, three stand out. What is
the rigorous, quantitative mechanism responsible for confinement? What is the
connection between confinement and dynamical chiral symmetry breaking? And are
these phenomena together sufficient to explain the origin of more than 98% of
the mass of the observable universe? Such questions may only be answered using
the full machinery of nonperturbative relativistic quantum field theory. These
lecture notes provide an introduction to the application of Dyson-Schwinger
equations in this context, and a perspective on progress toward answering these
key questions.


title: Complete Relativistic Description of the N*(1520)

abstract:
  A relativistic description of spin 3/2 resonances and their decay channels is
presented by calculating their selfenergies and spectral functions. The full
vector-spinor structure is taken into account. Special emphasis is put on the
N*(1520) and its decay channels pi N, rho N and pi \Delta. All interactions are
formulated such that only the correct number of degrees of freedom of a spin
3/2 state is propagated. The obtained results are compared with several
approximations frequently used to avoid the complicated vector-spinor
structure. Since this structure is taken fully into account here, the quality
of the approximations can be judged.


title: Folding model analysis of proton scattering from $^{18,20,22}$O nuclei

abstract:
  The elastic and inelastic proton scattering on $^{18,20,22}$O nuclei are
studied in a folding model formalism of nucleon-nucleus optical potential and
inelastic form factor. The DDM3Y effective interaction is used and the ground
state densities are obtained in continuum Skyrme-HFB approach. A
semi-microscopic approach of collective form factors is done to extract the
deformation parameters from inelastic scattering analysis while the microscopic
approach uses the continuum QRPA form factors. Implications of the values of
the deformation parameters, neutron and proton transition moments for the
nuclei are discussed. The p-analyzing powers on $^{18,20,22}$O nuclei are also
predicted in the same framework.


title:
$A$ dependence of the $\gamma$- and $p$-induced production of the
  $\Lambda(1520)$ from nuclei

abstract:
  Using results of a recent calculation of the $\Lambda(1520)$ in the nuclear
medium, which show that the medium width is about five times the free width, we
study the A dependence of the $\Lambda(1520)$ production cross section in the
reactions $\gamma ~A \to K^+ \Lambda(1520) A^\prime$ and $p~ A \to p~ K^+
\Lambda(1520) A^\prime$. We find a sizable A dependence in the ratio of the
nuclear cross sections for heavy nuclei with respect to a light one due to the
large value of the $\Lambda(1520)$ width in the medium, showing that devoted
experiments, easily within reach in present facilities, can provide good
information on that magnitude by measuring the cross sections studied here.


title:
Testing nuclear forces by polarization transfer coefficients in d(\vec
  p, \vec p)d and d(\vec p,\vec d)p reactions at E^{lab}_p = 22.7 MeV

abstract:
  The proton to proton polarization transfer coefficients K_x^{x'}, K_y^{y'},
K_z^{x'} and the proton to deuteron polarization transfer coefficients
K_x^{x'}, K_y^{y'}, K_z^{x'}, K_x^{y'z'}, K_y^{z'z'}, K_z^{y'z'}, K_y^{x'z'}
and K_y^{x'x'-y'y'} have been measured in d(\vec p, \vec p)d and d(\vec p, \vec
d)p reactions at E^{lab}_p = 22.7 MeV, respectively. The data have been
compared to predictions of modern nuclear forces obtained by solving the
three-nucleon Faddeev equations in momentum space. Realistic (semi)
phenomenological nucleon-nucleon potentials combined with model three-nucleon
forces and modern chiral nuclear forces have been used. The AV18, CD Bonn, Nijm
I and II nucleon-nucleon interactions have been applied alone or combined with
the Tucson-Melbourne 99 three-nucleon force, adjusted separately for each
potential to reproduce the triton binding energy. For the AV18 potential also
the Urbana IX three-nucleon force have been used. In addition chiral NN
potentials in the next-to-leading-order and chiral two- and three-nucleon
forces in the next-to-next-to-leading-order have been applied. Only when
three-nucleon forces are included a satisfactory description of all data
results. For the chiral approach the restriction to the forces in the
next-to-leading order is insufficient. Only when going over to the
next-to-next-to-leading order one gets a satisfactory description of the data,
similar to the one obtained with the (semi) phenomenological forces.


title: Long- and short-range correlations in the ab-initio no-core shell model

abstract:
  In the framework of the ab-initio no-core shell model (NCSM), we describe the
longitudinal-longitudinal distribution function, part of the inclusive (e,e')
longitudinal response. In the two-body cluster approximation, we compute the
effective operators consistent with the unitary transformation used to obtain
the effective Hamiltonian. When short-range correlations are probed, the
results display independence from the model space size and length scale.
Long-range correlations are more difficult to model in the NCSM and they can be
described only by increasing the model space or increasing the cluster size. In
order to illustrate the model space independence for short-range observables,
we present results for a large set of model spaces for 4He, and in 0-4hw model
spaces for 12C.


title: Nuclear quantum optics with x-ray laser pulses

abstract:
  The direct interaction of nuclei with super-intense laser fields is studied.
We show that present and upcoming high-frequency laser facilities, especially
together with a moderate acceleration of the target nuclei, do allow for
resonant laser-nucleus interaction. These direct interactions may be utilized
for the optical measurement of nuclear properties such as the transition
frequency and the dipole moment, thus opening the field of nuclear quantum
optics. As ultimate goal, one may hope that direct laser-nucleus interactions
could become a versatile tool to enhance preparation, control and detection in
nuclear physics.


title:
Surveying the Nucleon-Nucleon Momentum Correlation Function in the
  Framework of Quantum Molecular Dynamics Model

abstract:
  Momentum correlation functions of the nucleon-nucleon pairs are presented for
reactions with C isotopes bombarding a $^{12} \rm C$ target within the
framework of the isospin-dependent quantum molecular dynamics model. The
binding-energy dependence of the momentum correlation functions is also
explored, and other factors that have an influence on momentum correlation
functions are investigated. These factors include momentum-dependent nuclear
equation of state, in-medium nucleon-nucleon cross sections, impact parameters,
total pair momenta, and beam energy. In particular, the rise and the fall of
the strength of momentum correlation functions at lower relative momentum are
shown with an increase in beam energy.


title:
Dynamical and sequential decay effects on isoscaling and density
  dependence of the symmetry energy

abstract:
  The isoscaling properties of the primary and final products are studied via
isospin dependent quantum molecular dynamics
  (IQMD) model and the followed sequential decay model GEMINI, respectively. It
is found that the isoscaling parameters $\alpha$ of both primary and final
products keep no significant change for light fragments, but increases with the
mass for intermediate and heavy products. The dynamical effects on isoscaling
are exhibited by that $\alpha$ value decreases a little with the evolution time
of the system, and opposite trend for the heavy products. The secondary decay
effects on isoscaling are reflected in the increasing of the $\alpha$ value for
the final products which experiences secondary decay process.
  Furthermore the density dependence of the symmetry energy has also been
explored, it is observed that in the low densities the symmetry energy
coefficient has the form of $C_{sym}(\rho)\sim C_{0}(\rho/\rho_{0})^{\gamma}$,
where $\gamma = 0.7 \sim 1.3$ for both primary and final products, but $C_{0}$
have different values for primary and final products. It is also suggested that
it might be more reasonable to describe the density dependence of the symmetry
energy coefficient by the $C_{sym}(\rho/\rho_{0})\approx
C_{1}(\rho/\rho_{0})^{\gamma_{soft}} + C_{2}(\rho/\rho_{0})^{\gamma_{stiff}}$
with $\gamma_{soft}\leq 1$, $\gamma_{stiff}\geq 1$ and $C_{1}, C_{2}$ constant
parameters.


title: Possible eta-mesic 3He states within the finite rank approximation

abstract:
  We extend the method of time delay proposed by Eisenbud and Wigner, to search
for unstable states formed by eta mesons and the 3He nucleus. Using few body
equations to describe eta-3He elastic scattering, we predict resonances and
unstable bound states within different models of the eta-N interaction. The
eta-3He states predicted within this novel approach are in agreement with the
recent claim of the evidence of eta-mesic 3He made by the TAPS collaboration.


title:
Ground state of medium-heavy doubly-closed shell nuclei in correlated
  basis function theory

abstract:
  The correlated basis function theory is applied to the study of medium-heavy
doubly closed shell nuclei with different wave functions for protons and
neutrons and in the jj coupling scheme. State dependent correlations including
tensor correlations are used. Realistic two-body interactions of Argonne and
Urbana type, together with three-body interactions have been used to calculate
ground state energies and density distributions of the 12C, 16O, 40Ca, 48Ca and
208Pb nuclei.


title: Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

abstract:
  The complete exact solution of the T=1 neutron-proton pairing Hamiltonian is
presented in the context of the SO(5) Richardson-Gaudin model with
non-degenerate single-particle levels and including isospin-symmetry breaking
terms. The power of the method is illustrated with a numerical calculation for
$^{64}$Ge for a $pf+g_{9/2}$ model space which is out of reach of modern
shell-model codes.


title: Field and phenomenological description of absorption of particles

abstract:
  The complicated processes in the medium (decays, reactions and $n\bar{n}$
conversion) involving final state absorption are considered. The calculations
in the framework of field and phenomenological approaches are compared. The
reasons for disagreement are studied. The field approach can tend to increase
of total process probability as well as probability of channel corresponding to
absorption, in comparison with phenomenological model.


title: Shell model study of even-even 132-134Te neutron-rich nuclei

abstract:
  Large-scale shell model calculations were performed for neutron-rich
even-even $^{132-136}$Te using a realistic effective interaction derived from
CD-Bonn nucleon-nucleon potential for the positive and negative parity states.
The calculated results are compared with the recently available experimental
data. The transition rates B(E2; 0$^+\to2^+$) are also calculated by taking
into consideration core polarization effect by choosing best effective charges
for proton and neutron. The result of our theoretical calculations are compared
with experimental data and with the previous theoretical work. A very good
agreement were obtained for all nuclei.


title:
Correlation of transverse momentum and multiplicity in a superposition
  model of nucleus-nucleus collisions

abstract:
  In p-p collisions the average transverse momentum is known to be correlated
with the multiplicity of produced particles. The correlation is shown to
survive in a superposition model of nucleus-nucleus collisions. When properly
parameterized, the correlation strength appears to be independent of the
collision centrality - it is the same in p-p and central A-A collisions.
However, the correlation is strongly suppressed by the centrality fluctuations.


title: The physics of dense hadronic matter and compact stars

abstract:
  This review describes the properties of hadronic phases of dense matter in
compact stars. The theory is developed within the method of real-time Green's
functions and is applied to study of baryonic matter at and above the
saturation density. The non-relativistic and covariant theories based on
continuum Green's functions and the T-matrix and related approximations to the
self-energies are reviewed. The effects of symmetry energy, onset of hyperons
and meson condensation on the properties of stellar configurations are
demonstrated on specific examples. Neutrino interactions with baryonic matter
are introduced within a kinetic theory. We concentrate on the classification,
analysis and first principle derivation of neutrino radiation processes from
unpaired and superfluid hadronic phases. We then demonstrate how neutrino
radiation rates from various microscopic processes affect the macroscopic
cooling of neutron stars and how the observed X-ray fluxes from pulsars
constrain the properties of dense hadronic matter.


title:
A New Boson Realization of Two-Level Pairing Model in Many-Fermion
  System and its Classical Counterpart

abstract:
  A new method for describing the two-level pairing model in a many-fermion
system is presented. Basic idea comes from the Schwinger boson representation
for the su(2) cross su(2)-algebra, in which four kinds of boson operators
govern the dynamics. It is well known that in the original fermion space, it is
almost impossible to introduce any trial state for the variation except the BCS
state in the framework of the mean field approximation. However, in the
Schwinger boson representation, various trial states can be defined on the
condition that the mean field approximation is useful. In these states, the
mixed-mode coherent state is mainly discussed in this paper.


title: A Note on the Two-Level Pairing Model Obeying the su(2)*su(2)-Algebra

abstract:
  The two-level pairing model obeying the su(2)*su(2)-algebra, which was
discussed in the previous paper, is re-formed in the framework of the
su(1,1)*su(1,1)-algebra in the Schwinger boson representation. With the aid of
MYT mapping method, the Schwinger boson representation is reduced to the
Holstein-Primakoff boson representation, which is expressed in terms of two
kinds of bosons. Further, with the aid of the squeezed coherent state, the
classical counterpart is obtained.


title: Continuous phase transition and negative specific heat in finite nuclei

abstract:
  The liquid-gas phase transition in finite nuclei is studied in a heated
liquid-drop model where the nuclear drop is assumed to be in thermodynamic
equilibrium with its own evaporated nucleonic vapor conserving the total baryon
number and isospin of the system. It is found that in the liquid-vapor
coexistence region the pressure is not a constant on an isotherm indicating
that the transition is continuous. At constant pressure, the caloric curve
shows some anomalies, namely, the systems studied exhibit negative heat
capacity in a small temperature domain. The dependence of this specific feature
on the mass and isospin of the nucleus, Coulomb interaction and the chosen
pressure is studied. The effects of the presence of clusters in the vapor phase
on specific heat have also been explored.


title:
Transport study of charged current interactions in neutrino-nucleus
  reactions

abstract:
  Within a dynamical transport approach we investigate charged current
interactions in neutrino-nucleus reactions for neutrino energies of 0.3 - 1.5
GeV with particular emphasis on resonant pion production channels via the
$\Delta_{33}(1232)$ resonance. The final-state-interactions of the resonance as
well as of the emitted pions are calculated explicitly for $^{12}C$ and
$^{56}Fe$ nuclei and show a dominance of pion suppression at moderate momenta
$p_\pi >$ 0.2 GeV/c. A comparison to integrated $\pi^+$ spectra for $\nu_\mu +
^{12}C$ reactions with the available (preliminary) data demonstrates a
reasonable agreement.


title:
Effects of self-consistency violation in Hartree-Fock RPA calculations
  for nuclear giant resonances revisited

abstract:
  We provide accurate assessments of the consequences of violations of
self-consistency in Hartree-Fock (HF) based random phase approximation (RPA)
calculations of the centroid energy $E_{cen}$ of isoscalar and isovector giant
resonances of multi-polarities $L=0-3$ in a wide range of nuclei. This is done
by carrying out highly accurate HF-RPA calculations neglecting the
particle-hole (ph) spin-orbit or Coulomb interaction in the RPA and comparing
with the fully self-consistent HF-RPA results. We find that the shifts in the
value of $E_{cen}$ due to self-consistency violation associated with the
spin-orbit and Coulomb interactions are comparable or larger than the current
experimental errors in $E_{cen}$.


title: Thomas-Fermi theory for atomic nuclei revisited

abstract:
  The recently developed semiclassical variational Wigner-Kirkwood (VWK)
approach is applied to finite nuclei using external potentials and
self-consistent mean fields derived from Skyrme interactions and from
relativistic mean field theory. VWK consists of the Thomas-Fermi part plus a
pure, perturbative hbar^2 correction. In external potentials, VWK passes
through the average of the quantal values of the accumulated level density and
total energy as a function of the Fermi energy. However, there is a problem of
overbinding when the energy per particle is displayed as a function of the
particle number. The situation is analyzed comparing spherical and deformed
harmonic oscillator potentials. In the self-consistent case, we show for Skyrme
forces that VWK binding energies are very close to those obtained from extended
Thomas-Fermi functionals of hbar^4 order, pointing to the rapid convergence of
the VWK theory. This satisfying result, however, does not cure the overbinding
problem, i.e., the semiclassical energies show more binding than they should.
This feature is more pronounced in the case of Skyrme forces than with the
relativistic mean field approach. However, even in the latter case the shell
correction energy for e.g. 208Pb turns out to be only -6 MeV what is about a
factor two or three off the generally accepted value. As an ad hoc remedy,
increasing the kinetic energy by 2.5%, leads to shell correction energies well
acceptable throughout the periodic table. The general importance of the present
studies for other finite Fermi systems, self-bound or in external potentials,
is pointed out.


title: Collective behavior in random interaction

abstract:
  Recent investigations have looked at the many-body spectra of random two-body
interactions. In fermion systems, such as the interacting shell model, one
finds pairing-like spectra, while in boson systems, such as IBM-1, one finds
rotational and vibrational spectra. We discuss the search for random ensembles
of fermion interactions that yield rotational and vibrational spectra, and in
particular present results from a new ensemble, the ``random
quadrupole-quadrupole ensemble''


title: Small damping approach in Fermi-liquid theory

abstract:
  The validity of small damping approximation (SDA) for the quasi-classical
description of the averaged properties of nuclei at high temperatures is
studied within the framework of collisional kinetic theory. The isoscalar
collective quadrupole vibrations in hot nuclei are considered. We show that the
extension of the SDA, by accounting for the damping of the distribution
function $\delta f$ in the collision integral reduces the rate of variation
with temperature of the Fermi surface distortion effects. The damping of the
$\delta f$ in the collision integral increases significantly the collisional
width of the giant quadrupole resonance (GQR) for small enough values of the
relaxation time. The temperature dependence of the eigenenergy of the GQR
becomes much more weaker than in the corresponding SDA case.


title:
The new computer program for three dimensional relativistic
  hydrodynamical model

abstract:
  An effective computer program for three dimensional relativistic
hydrodynamical model has been developed. It implements a new approach to the
early hot phase of relativistic heavy-ion collisions. The computer program
simulates time-space evolution of nuclear matter in terms of ideal-fluid
dynamics. Equations of motions of hydrodynamics are solved making use of finite
difference methods. Commonly-used algorithms of numerical relativistic
hydrodynamics RHLLE and MUSTA-FORCE have been applied in simulations. To
speed-up calculations, parallel processing has been made available for solving
hydrodynamical equations. The test results of simulations for 3D, 2D and
Bjorken expansion are reported in this paper. As a next step we plan to
implement the hadronization algorithm by implementing the continuous particle
emission for freeze-out and comparing it with Cooper-Frye formula.


title:
The role of the boundary conditions in the Wigner-Seitz approximation
  applied to the neutron star inner crust

abstract:
  The influence of the boundary conditions used in the Wigner-Seitz
approximation applied to the neutron star inner crust is examined. The
generalized energy functional method which includes neutron and proton pairing
correlations is used. Predictions of two versions of the boundary conditions
are compared with each other. The uncertainties in the equilibrium
configuration (Z,R_c) of the crust, where Z is the proton charge and R_c the
radius of the Wigner-Seitz cell, correspond to variation of Z by 2 -- 6 units
and of R_c, by 1 -- 2 fm. The effect of the boundary conditions is enhanced at
increasing density. These uncertainties are smaller than the variation of Z and
R_c coming from the inclusion of pairing. The value of the pairing gap itself,
especially at high density, can depend on the boundary condition used.


title: Coulomb breakup in a Transformed Harmonic Oscillator Basis

abstract:
  The problem of Coulomb breakup in the scattering of a two-body loosely bound
projectile by a heavy target is addressed. A basis of transformed harmonic
oscillator (THO) wave functions is used to discretize the projectile continuum
and to diagonalize the Hamiltonian of the two-body system. Results for the
reaction $^{8}$B+$^{58}$Ni at subcoulomb energies are presented. Comparison of
different observables with those obtained with the standard Continuum
Discretized Coupled-Channels (CDCC) method shows good agreement between both
approaches.


title:
Equation of state for isospin asymmetric nuclear matter using Lane
  potential

abstract:
  A mean field calculation for obtaining the equation of state (EOS) for
symmetric nuclear matter from a density dependent M3Y interaction supplemented
by a zero-range potential is described. The energy per nucleon is minimized to
obtain the ground state of symmetric nuclear matter. The saturation energy per
nucleon used for nuclear matter calculations is determined from the
co-efficient of the volume term of Bethe-Weizs\"acker mass formula which is
evaluated by fitting the recent experimental and estimated atomic mass excesses
from Audi-Wapstra-Thibault atomic mass table by minimizing the mean square
deviation. The constants of density dependence of the effective interaction are
obtained by reproducing the saturation energy per nucleon and the saturation
density of spin and isospin symmetric cold infinite nuclear matter. The EOS of
symmetric nuclear matter, thus obtained, provide reasonably good estimate of
nuclear incompressibility. Once the consants of density dependence are
determined, EOS for asymmetric nuclear matter is calculated by adding to the
isoscalar part, the isovector component of the M3Y interaction that do not
contribute to the EOS of symmetric nuclear matter. These EOS are then used to
calculate the pressure, the energy density and the velocity of sound in
symmetric as well as isospin asymmetric nuclear matter.


title: Pion-photon exchange nucleon-nucleon potentials

abstract:
  We calculate in chiral perturbation theory the dominant next-to-leading order
correction to the $\pi\gamma$-exchange NN-potential proportional to the large
isovector magnetic moment $\kappa_v = 4.7$ of the nucleon. The corresponding
spin-spin and tensor potentials $\widetilde V_{S,T}(r)$ in coordinate space
have a very simple analytical form. At long distances $r \simeq 2$ fm these
potentials are of similar size (but opposite in sign) as the leading order
$\pi\gamma$-exchange potentials. We consider also effects from virtual
$\Delta$-isobar excitation as well as other isospin-breaking contributions to
the $2\pi$-exchange NN-potential induced by additional one-photon exchange.


title:
Quasi-particle interaction in nuclear matter from chiral pion-nucleon
  dynamics

abstract:
  Based on a recent chiral approach to nuclear matter we calculate the
in-medium interaction of nucleons at the Fermi surface $|\vec p_{1,2}|=k_f$.
The isotropic part of this quasi-particle interaction is characterized by four
density dependent (dimensionful) Fermi-liquid parameters: $f_0(k_f), f_0'(k_f),
g_0(k_f)$ and $g_0'(k_f)$. In the approximation to $1\pi$-exchange and iterated
$1\pi$-exchange (which as such leads already to a good nuclear matter equation
of state) we find a spin-isospin interaction strength of $g_0'(2m_\pi) = 1.14
$fm$^2$, compatible with existing empirical values. In the next step we include
systematically the contributions from $2\pi$-exchange with virtual
$\Delta(1232) $-isobar excitation which have been found important for good
single-particle properties and spin-stability of nuclear matter. Without any
additional short distance terms the spin-dependent Fermi-liquid parameters
$g_0(k_{f0})$ and $g'_0(k_{f0})$ come out far too large. Estimates of these
short-distance parameters from realistic NN-potentials go in the right
direction, but sizeable enhancement factors are still needed to reproduce the
empirical values of $g_0(k_{f0})$ and $g_0'(k_{f0})$. This points towards the
importance of higher order iterations subsumed in the induced interaction. We
consider also the tensor part of the quasi-nucleon interaction at the Fermi
surface. In comparison to the leading $1\pi$-exchange tensor interaction we
find from the $2\pi$-exchange corrections almost a doubling of the isoscalar
tensor strength $h_0(k_f)$, whereas the isovector tensor strength $h_0'(k_f)$
is much less affected. These features are not changed by the inclusion of the
chiral $\pi N\Delta$-dynamics.


title: Chiral dynamics of $\Sigma$-hyperons in the nuclear medium

abstract:
  Using SU(3) chiral perturbation theory we calculate the density-dependent
complex mean field $U_\Sigma(k_f)+ i W_\Sigma(k_f)$ of a $\Sigma$-hyperon in
isospin-symmetric nuclear matter. The leading long-range $\Sigma N
$-interaction arises from one-kaon exchange and from two-pion exchange with a
$\Sigma$- or a $\Lambda$-hyperon in the intermediate state. We find from the
$\Sigma N\to \Lambda N$ conversion process at nuclear matter saturation density
$\rho_0 = 0.16 $fm$^{-3}$ an imaginary single-particle potential of
$W_\Sigma(k_{f0}) =-21.5$ MeV, in fair agreement with existing empirical
determinations. The genuine long-range contributions from iterated (second
order) one-pion exchange with an intermediate $\Sigma$- or $\Lambda$-hyperon
sum up to a moderately repulsive real single-particle potential of
$U_\Sigma(k_{f0})= 59$ MeV. Recently measured $(\pi^-,K^+$) inclusive spectra
related to $\Sigma^-$-formation in heavy nuclei give evidence for a
$\Sigma$-nucleus repulsion of similar size. Our results suggest that the net
effect of the short-range $\Sigma N$-interaction on the $\Sigma$-nuclear mean
field could be small.


title: Spin-isospin stability of nuclear matter

abstract:
  We calculate the density-dependent spin-isospin asymmetry energy $J(k_f)$ of
nuclear matter in the three-loop approximation of chiral perturbation theory.
The interaction contributions to $J(k_f)$ originate from one-pion exchange,
iterated one-pion exchange, and irreducible two-pion exchange with no, single,
and double virtual $\Delta$-isobar excitation. We find that the approximation
to $1\pi$-exchange and iterated $1\pi$-exchange terms (which leads already to a
good nuclear matter equation of state by adjusting an emerging contact-term) is
spin-isospin stable, since $J(k_{f0})\simeq 24 {\rm MeV}>0$. The inclusion of
the chiral $\pi N\Delta$-dynamics, necessary in order to guarantee the
spin-stability of nuclear matter, keeps this property intact. The corresponding
spin-isospin asymmetry energy $J(k_f)$ stays positive even for extreme values
of an undetermined short-distance parameter $J_5$ (whose possible range we
estimate from realistic NN-potentials). The largest positive contribution to
$J(k_f)$ (a term linear in density) comes from a two-body contact-term with its
strength fitted to the empirical nuclear matter saturation point.


title: Charged Current Neutrino Nucleus Interactions at Intermediate Energies

abstract:
  We have developed a model to describe the interactions of neutrinos with
nucleons and nuclei, focusing on the region of the quasielastic and Delta(1232)
peaks. We describe neutrino nucleon collisions with a fully relativistic
formalism which incorporates state-of-the-art parametrizations of the form
factors for both the nucleon and the N-Delta transition. The model has then
been extended to finite nuclei, taking into account nuclear effects such as
Fermi motion, Pauli blocking (both within the local density approximation),
nuclear binding and final state interactions. The in-medium modification of the
Delta resonance due to Pauli blocking and collisional broadening have also been
included. Final state interactions are implemented by means of the
Boltzmann-Uehling-Uhlenbeck (BUU) coupled-channel transport model. Results for
charged current inclusive cross sections and exclusive channels as pion
production and nucleon knockout are presented and discussed.


title: The Trojan Horse Method: an Indirect Technique in Nuclear Astrophysics

abstract:
  The Trojan Horse (TH) method is a powerful indirect technique that provides
information to determine astrophysical factors for rearrangement processes at
astrophysically relevant energies. A short coming for understanding the
reliability of the technique has been determining the importance of nuclear and
Coulomb effects on the energy dependence of the yield. Using a simple model, we
demonstrate that off-energy-shell and Coulomb effects in the entry channel and
the final state nuclear interactions do not change the energy dependence of the
astrophysical factor extracted from the TH reaction. Some examples are
presented.


title: Microscopic shell-model description of the exotic nucleus ^{16}C

abstract:
  The structure of the neutron-rich carbon nucleus ^{16}C is described by
introducing a new microscopic shell model of no-core type. The model space is
composed of the 0s, 0p, 1s0d, and 1p0f shells. The effective interaction is
microscopically derived from the CD-Bonn potential and the Coulomb force
through a unitary transformation theory. Calculated low-lying energy levels of
^{16}C agree well with the experiment. The B(E2;2_{1}^{+} \to 0_{1}^{+}) value
is calculated with the bare charges. The anomalously hindered B(E2) value for
^{16}C, measured recently, is well reproduced.


title: Realistic Few-Body Physics in the $dd\to \alpha\pi^0$ Reaction

abstract:
  We use realistic two- and three-nucleon interactions in a hybrid
chiral-perturbation-theory calculation of the charge-symmetry-breaking reaction
$dd\to\alpha\pi^0$ to show that a cross section of the experimentally measured
size can be obtained using LO and NNLO pion-production operators. This result
supports the validity of our power counting scheme and demonstrates the
necessity of using an accurate treatment of ISI and FSI.


title: Uncertainties in the $0\nu\beta\beta$--decay nuclear matrix elements

abstract:
  The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay
($0\nu\beta\beta$) of most nuclei with known $2\nu\beta\beta$-decay rates are
systematically evaluated using the Quasiparticle Random Phase Approximation
(QRPA) and Renormalized QRPA (RQRPA). The experimental $2\nu\beta\beta$-decay
rate is used to adjust the most relevant parameter, the strength of the
particle-particle interaction. With such procedure the $M^{0\nu}$ values become
essentially independent on single-particle basis size, the axial vector
quenching factor, etc. Theoretical arguments in favor of the adopted way of
determining the interaction parameters are presented. It is suggested that most
of the spread among the published $M^{0\nu}$'s can be ascribed to the choices
of implicit and explicit parameters, inherent to the QRPA method.


title:
First application of the continuum-QRPA to description of the double
  beta decay

abstract:
  A continuum-QRPA approach to calculation of the $2\nu\beta\beta$- and
$0\nu\beta\beta$-amplitudes has been formulated. For $^{130}$Te a regular
suppression (about 20%) of the high-multipole contributions to the
$0\nu\beta\beta$-amplitude has been found which can be associated with
additional ground state correlations appearing from the transitions to
collective states in the continuum. At the same time the total calculated
$0\nu\beta\beta$-amplitude for $^{130}$Te gets suppressed by about 20% as
compared to the result of the usual, discretized, QRPA.


title: Completeness of the Coulomb scattering wave functions

abstract:
  Completeness of the eigenfunctions of a self-adjoint Hamiltonian, which is
the basic ingredient of quantum mechanics, plays an important role in nuclear
reaction and nuclear structure theory. However, until now, there was no a
formal proof of the completeness of the eigenfunctions of the two-body
Hamiltonian with the Coulomb interaction. Here we present the first formal
proof of the completeness of the two-body Coulomb scattering wave functions for
repulsive unscreened Coulomb potential. To prove the completeness we use the
Newton's method [R. Newton, J. Math Phys., 1, 319 (1960)]. The proof allows us
to claim that the eigenfunctions of the two-body Hamiltonian with the potential
given by the sum of the repulsive Coulomb plus short-range (nuclear) potentials
also form a complete set. It also allows one to extend the Berggren's approach
of modification of the complete set of the eigenfunctions by including the
resonances for charged particles. We also demonstrate that the resonant Gamow
functions with the Coulomb tail can be regularized using Zel'dovich's
regularization method.


title:
Open questions and perspectives for hadron electromagnetic form factors
  in space-like and time-like regions

abstract:
  An overview of recent data on electromagnetic hadron form factors is
presented and discussed in terms of selected nucleon models in space-like and
time-like regions. Model independent properties connecting scattering and
annihilation channels are presented and give a deeper understanding of the
underlying physics. Radiative corrections are discussed. The interest of
polarization observables with respect to model predictions and reaction
mechanism (one photon versus two photon exchange) is highlighted.


title:
alpha-nucleus potentials, alpha-decay half-lives, and shell closures for
  superheavy nuclei

abstract:
  Systematic alpha-nucleus folding potentials are used to analyze alpha-decay
half-lives of superheavy nuclei. Preformation factors of about several per cent
are found for all nuclei under study. The systematic behavior of the
preformation factors and the volume integrals of the potentials allows to
predict alpha-decay energies and half-lives for unknown nuclei. Shell closures
can be determined from measured alpha-decay energies using the discontinuity of
the volume integral at shell closures. For the first time a double shell
closure is predicted for Z_magic = 132, N_magic = 194, and A_magic = 326 from
the systematics of folding potentials. The calculated alpha-decay half-lives
remain far below one nanosecond for superheavy nuclei with double shell closure
and masses above A > 300 independent of the precise knowledge of the magic
proton and neutron numbers.


title:
Anisotropic flow at RHIC: How unique is the number-of-constituent-quark
  scaling?

abstract:
  The transverse momentum dependence of the anisotropic flow $v_2$ for $\pi$,
$K$, nucleon, $\Lambda$, $\Xi$ and $\Omega$ is studied for Au+Au collisions at
$\sqrt{s_{\rm NN}} = 200$ GeV within two independent string-hadron transport
approaches (RQMD and UrQMD). Although both models reach only 60% of the
absolute magnitude of the measured $v_2$, they both predict the particle type
dependence of $v_2$, as observed by the RHIC experiments: $v_2$ exhibits a
hadron-mass hierarchy (HMH) in the low $p_T$ region and a
number-of-constituent-quark (NCQ) dependence in the intermediate $p_T$ region.
The failure of the hadronic models to reproduce the absolute magnitude of the
observed $v_2$ indicates that transport calculations of heavy ion collisions at
RHIC must incorporate interactions among quarks and gluons in the early, hot
and dense phase. The presence of an NCQ scaling in the string-hadron model
results suggests that the particle-type dependencies observed in heavy-ion
collisions at intermediate $p_T$ might be related to the hadronic cross
sections in vacuum rather than to the hadronization process itself.


title: Time-Reversal Violation in Threshold $\vec{n}$ $\vec{p}$ Scattering

abstract:
  We investigate parity and time-reversal violation in neutron-proton
scattering in the optical regime. We calculate the neutron spin rotation and
analyzing power in scattering on polarized protons. This allows us to quantify
the sensitivity that such experiments should aim for in order to be competitive
to present-day measurements of the neutron electric dipole moment in
constraining the $P$- and $T$-odd two-nucleon interaction. While
state-of-the-art techniques fall short by some three orders of magnitude for
the neutron-proton case, specific neutron-nucleus experiments look promising,
provided certain experimental and theoretical challenges are met.


title: Superscaling in electron- and neutrino-nucleus scattering

abstract:
  The superscaling properties of electron scattering data are used to extract
model-independent predictions for neutrino-nucleus cross sections.


title:
Quark-gluon densities in the nuclear fragmentation region in heavy ion
  collisions at LHC

abstract:
  At the LHC, the leading partons in the nuclei are expected to interact with
the maximal possible strength - black disk limit - up to transverse momenta of
the order of few GeV. We demonstrate that in this limit the densities of the
quark - gluon systems produced in the central AA collisions in the nucleus
fragmentation regions should exceed 300 GeV/fm^3 which is at least as high as
the densities discussed for the central region. Experimental signatures of such
a regime are also discussed.


title:
Multiplicity Dependence of Partially Coherent Pion Production in
  Relativistic Heavy Ion Collisions

abstract:
  We investigate two- and three-particle intensity correlation functions of
pions in relativistic heavy ion collisions for different colliding energies.
Based on three models of particle production, we analyze the degree to which
the pion sources are chaotic in the SPS S+Pb, Pb+Pb and the RHIC Au+Au
collisions. The ``chaoticity'', $\lambda$, of the two-particle correlation
functions is corrected for long-lived resonance decays. The effect of the
partial Coulomb correction is also examined. Although the partially coherent
model gives a result which is consistent with that of STAR, the chaotic
fraction does not exhibit clear multiplicity dependence if we take into account
both the corrected chaoticity and the weight factor of the three-pion
correlation function.
  The result of the partially-multicoherent model indicates an increasing
number of coherent sources in higher multiplicity events.


title: Nucleons, Nuclear Matter and Quark Matter: A unified NJL approach

abstract:
  We use an effective quark model to describe both hadronic matter and
deconfined quark matter. By calculating the equations of state and the
corresponding neutron star properties, we show that the internal properties of
the nucleon have important implications for the properties of these systems.


title:
Antikaon angular distributions in the reaction ${\gamma}d \to
  K^-{\Theta}^+p \to K^-K^+np$ near the threshold and the parity of the
  ${\Theta}^+$ pentaquark

abstract:
  Within spectator model we study the reaction ${\gamma}d \to K^-{\Theta}^+p
\to K^-K^+np$ in the threshold energy region. We present the predictions for
the exclusive and inclusive antikaon angular distributions in the laboratory
system for this reaction calculated for two possible parity states of the
${\Theta}^+$ resonance at 1.5 and 1.75 GeV beam energies with and without
imposing the relevant kinematical cuts on those parts of the sampled phase
space where contribution from the main background sources associated with the
${\phi}(1020)$, ${\Lambda}(1520)$ production as well as with the
$K^-p$--rescattering in the final state, is expected to be dominant. We show
that under chosen kinematics these distributions are sensitive to the
${\Theta}^+$ parity and, therefore, can be used as a filter for the
determination of its parity.


title:
Testing the nature of the $\Lambda(1520)$ resonance in proton-induced
  production

abstract:
  The $\Lambda(1520)$ resonance has been recently studied in a unitarized
coupled channel formalism with $\pi\Sigma(1385)$, $K\Xi(1530)$, $\bar{K}N$ and
$\pi\Sigma$ as constituents blocks. We provide a theoretical study of the
predictions of this model in physical observables of the $pp\to pK^+K^-p$ and
$pp\to pK^+\pi^0\pi^0\Lambda$ reactions. In particular, we show that the ratio
between the $\pi^0\pi^0\Lambda$ and $K^-p$ mass distributions can provide
valuable information on the ratio of the couplings of the $\Lambda(1520)$
resonance to $\pi\Sigma(1385)$ and $\bar{K}N$ that the theory predicts.
Calculations are done for energies which are accessible in an experimental
facility like COSY at J\"ulich or the developing CSR facility at Lanzhou.


title:
Variational Calculations using Low-Momentum Potentials with Smooth
  Cutoffs

abstract:
  Recent variational calculations of the deuteron and the triton illustrate
that simple wave function ansatze become more effective after evolving the
nucleon-nucleon potential to lower momentum (``V_lowk''). However, wave
function artifacts from the use of sharp cutoffs in relative momentum decrease
effectiveness for small cutoffs (< 2 fm^-1) and slow down convergence in
harmonic oscillator bases. These sharp cutoff artifacts are eliminated when
V_lowk is generated using a sufficiently smooth cutoff regulator.


title: Phase diagram of neutral quark matter at moderate densities

abstract:
  We discuss the phase diagram of moderately dense, locally neutral
three-flavor quark matter using the framework of an effective model of quantum
chromodynamics with a local interaction. The phase diagrams in the plane of
temperature and quark chemical potential as well as in the plane of temperature
and lepton-number chemical potential are discussed.


title: Scattering of Ultra Cold Neutrons on Nano-size Bubbles

abstract:
  Inelastic scattering of ultra cold neutrons on bubbles with the size of
nanometers is considered. It is shown that neutron-bubble cross section is
large and sensitive to different vibration modes of bubbles. This process could
be used for study of dynamics of nano-size bubbles and for new methods of ultra
cold neutron production.


title:
Discrepancy between hadron matter and quark-gluon matter in net charge
  transfer fluctuation

abstract:
  A parton and hadron cascade model, PACIAE, is employed to investigate the net
charge transfer fluctuation within $|\eta|$=1 in Au+Au collisions at
$\sqrt{s_{NN}}$=200 GeV. It is turned out that the observable of net charge
transfer fluctuation, $\kappa$, in hadronic final state (HM) is nearly a factor
of 3 to 5 larger than that in initial partonic state (QGM). However, only
twenty percent of the net charge transfer fluctuation in the QGM can survive
the hadronization


title:
In--Flight ($K^-,p$) Reactions for the Formation of Kaonic Atoms and
  Kaonic Nuclei in Green function method

abstract:
  We study theoretically the kaonic atom and kaonic nucleus formations in the
in--flight ($K^-,p$) reactions using the Green function method, which is suited
to evaluate formation rates both of stable and unstable bound systems. We
consider $^{12}$C and $^{16}$O as the targets and calculate the spectra of the
($K^-,p$) reactions. We conclude that a no peak structure due to kaonic nucleus
formation is expected in the reaction spectra calculated with the chiral
unitary kaon--nucleus optical potential. In the spectra with the
phenomenological deep kaon--nucleus potential, we may have possibilities to
observe some structures due to kaonic nucleus states. For all cases, we have
peaks due to the kaonic atom formations in the reaction spectra.


title: Magic Numbers from New Systematics

abstract:
  A new systematics from the separation energy of deuteron is used to examine
the magicity of stable as well as nuclei towards dripline.


title: Fitted HBT radii versus space-time variances in flow-dominated models

abstract:
  The inability of otherwise successful dynamical models to reproduce the ``HBT
radii'' extracted from two-particle correlations measured at the Relativistic
Heavy Ion Collider (RHIC) is known as the ``RHIC HBT Puzzle.'' Most comparisons
between models and experiment exploit the fact that for Gaussian sources the
HBT radii agree with certain combinations of the space-time widths of the
source which can be directly computed from the emission function, without
having to evaluate, at significant expense, the two-particle correlation
function. We here study the validity of this approach for realistic emission
function models some of which exhibit significant deviations from simple
Gaussian behaviour. By Fourier transforming the emission function we compute
the 2-particle correlation function and fit it with a Gaussian to partially
mimic the procedure used for measured correlation functions. We describe a
novel algorithm to perform this Gaussian fit analytically. We find that for
realistic hydrodynamic models the HBT radii extracted from this procedure agree
better with the data than the values previously extracted from the space-time
widths of the emission function. Although serious discrepancies between the
calculated and measured HBT radii remain, we show that a more
``apples-to-apples'' comparison of models with data can play an important role
in any eventually successful theoretical description of RHIC HBT data.


title: Production of strange particles at intermediate pT at RHIC

abstract:
  The recombination model is applied to the production of $K, \phi, \Lambda$
and $\Omega$ at all $p_T$ in central Au+Au collisions. The thermal-shower
component of the recombination is found to be important for $K$ and $\Lambda$,
but only in a minor way for $\phi$ and $\Omega$ in the intermediate to high
$p_T$ region. The normalization and inverse slope of the thermal partons in the
strange sector are determined by fitting the low-$p_T$ data. At higher $p_T$
the data of $K, \phi, \Lambda$ and $\Omega$ in the log scale are all well
reproduced in our study that extends the thermal contribution and includes the
shower contribution. The calculated result on the $\Lambda/K$ ratio rises to a
maximum of around 2 at $p_T\approx 4$ GeV/c, arching over the data in linear
scale. The production of $\phi$ and $\Omega$ are shown to arise mainly from the
recombination of thermal partons, thus exhibiting exponential $p_T$ dependences
in agreement with the data. Their ratio, $R_{\Omega/\phi}$, rises linearly to
$p_T\approx 4$ GeV/c and develops a maximum at $p_T\approx 5.5$ GeV/c. It is
argued that the $p_T$ spectra of $\phi$ and $\Omega$ reveal directly the
partonic nature of the thermal source that characterizes quark-gluon plasma.
Comments are made on the $\Omega$ puzzle due to the simultaneous observation of
both the exponential behavior of the $\Omega$ spectrum in $p_T$ and the
existence of low-$p_T$ particles associated with $\Omega$ as trigger.


title:
$\phi$ and $\Omega$ production in relativistic heavy ion collisions in a
  dynamical quark coalescence model

abstract:
  Based on the phase-space information obtained from a multi-phase transport
model within the string melting scenario for strange and antistrange quarks, we
study the yields and transverse momentum spectra of $\phi $ mesons and $\Omega
$ ($\Omega ^{-}+\bar{\Omega}^{+}$) baryons as well as their anisotropic flows
in Au+Au collisions at RHIC using a dynamical quark coalescence model that
includes the effect due to quark phase-space distributions inside hadrons. With
current quark masses and fixing the $\phi $ and $\Omega $ radii from fitting
measured yields, we first study the ratio of the yield of $\Omega $ baryons to
that of $\phi $ mesons as well as their elliptic and fourth-order flows as
functions of their transverse momentum. How the elliptic and fourth-order flows
of $\phi $ mesons and $\Omega $ baryons are related to those of strange and
antistrange quarks is then examined. The dependence of above results on $\phi $
and $\Omega $ radii as well as on the strange quark mass is also studied.


title: Pion production reactions in nucleon-nucleon collisions

abstract:
  Understanding pion production in nucleon-nucleon collisions near threshold
has been a challenge for the last decades. In particular, the reaction pp ->
pppi0 is highly sensitive to short-range mechanisms, because isospin
conservation suppresses the otherwise dominant pion exchange term. However, the
relative importance of the various reaction processes has been very difficult
to establish.
  After reviewing the state-of-the-art of the theoretical approaches, we
address the validity of the distorted-wave Born approximation (DWBA) through
its link to the time-ordered perturbation theory (TOPT) diagrams. As the energy
of the exchanged pion is not determined unambiguously within the
non-relativistic formalism underlying DWBA, we analyse several options to
determine which one is closer to TOPT.
  The S-matrix technique, successfully used below threshold, is shown to
reproduce the results of TOPT for the re-scattering mechanism in pi0
production. It is afterwards applied to full calculations of both charged and
neutral pion production reactions, the cross sections of which are described
successfully. The main production mechanisms and partial waves corresponding to
high angular momentum are included in the calculations. Finally we discuss the
effect on the cross section of the frequent prescriptions for the energy of the
exchanged pion.


title:
Effects of non-causal artifacts in a hadronic rescattering model for
  RHIC collisions

abstract:
  It has been shown that calculations based on a hadronic rescattering model
agree reasonably well with experimental results from RHIC Au+Au collisions.
Because of the large particle densities intrinsically present at the early time
steps of Monte Carlo calculations attempting to model RHIC collisions
undesirable artifacts resulting in non-causality may be present. The effects of
such artifacts on observables calculated from the rescattering model are
studied in the present work in two ways: 1) varying the time step and 2) using
the subdivision method. It is shown that although non-causal artifacts are
present in the rescattering model they have no appreciable effects on the
calculated observables, thus strengthing the confidence in the results of this
rescattering model for RHIC energies.


title: Quantum calculation of vortices in the inner crust of neutron stars

abstract:
  We study, within a quantum mechanical framework based on self-consistent mean
field theory, the interaction between a vortex and a nucleus immersed in a sea
of free neutrons, a scenario representative of the inner crust of neutron
stars. Quantal finite size effects force the vortex core outside the nucleus,
influencing vortex pinning in an important way.


title: Results from the Relativistic Heavy Ion Collider

abstract:
  We describe the current status of the heavy ion research program at the
Relativistic Heavy Ion Collider (RHIC). The new suite of experiments and the
collider energies have opened up new probes of the medium created in the
collisions. Our review focuses on the experimental discoveries to date at RHIC
and their interpretation in the light of our present theoretical understanding
of the dynamics of relativistic heavy ion collisions and of the structure of
strongly interacting matter at high energy density.


title: The stability and the shape of the heaviest nuclei

abstract:
  In this paper, we report a systematic study of the heaviest nuclei within the
relativistic mean field (RMF) model. By comparing our results with those of the
Hartree-Fock-Bogoliubov method (HFB) and the finite range droplet model (FRDM),
the stability and the shape of the heaviest nuclei are discussed. The
theoretical predictions as well as the existing experimental data indicate that
the experimentally synthesized superheavy nuclei are in between the fission
stability line, the line connecting the nucleus with maximum binding energy per
nucleon in each isotopic chain, and the $\beta$-stability line, the line
connecting the nucleus with maximum binding energy per nucleon in each isobaric
chain. It is shown that both the fission stability line and the
$\beta$-stability line tend to be more proton rich in the superheavy region.
Meanwhile, all the three theoretical models predict most synthesized superheavy
nuclei to be deformed.


title: The Nuclear Scissors Mode from Various Aspects

abstract:
  Three methods to describe collective motion, Random Phase Approximation
(RPA), Wigner Function Moments (WFM) and the Green's Function (GF) method are
compared in detail and their physical content analyzed on an example of a
simple model, the harmonic oscillator with quadrupole--quadrupole residual
interaction. It is shown that they give identical formulae for eigenfrequencies
and transition probabilities of all collective excitations of the model,
including the scissors mode, which is the subject of our special attention. The
exact relation between the RPA and WFM variables and the respective dynamical
equations is established. The transformation of the RPA spectrum into the one
of WFM is explained. The very close connection of the WFM method with the GF
one is demonstrated. The normalization factor of the ``synthetic'' scissors
state and its overlap with physical states are calculated analytically. The
orthogonality of the spurious state to all physical states is proved
rigorously. A differential equation describing the current lines of RPA modes
is established and the current lines of the scissors mode analyzed as a
superposition of rotational and irrotational components.


title:
Transport model analysis of particle correlations in relativistic heavy
  ion collisions at femtometer scales

abstract:
  The pion source as seen through HBT correlations at RHIC energies is
investigated within the UrQMD approach. We find that the calculated transverse
momentum, centrality, and system size dependence of the Pratt-HBT radii $R_L$
and $R_S$ are reasonably well in line with experimental data. The predicted
$R_O$ values in central heavy ion collisions are larger as compared to
experimental data. The corresponding quantity $\sqrt{R_O^{2}-R_S^{2}}$ of the
pion emission source is somewhat larger than experimental estimates.


title: Core Transitions in the Breakup of Exotic Nuclei

abstract:
  An interesting physical process has been unveiled: dynamical core excitation
during a breakup reaction of loosely bound $core+N$ systems. These reactions
are typically used to extract spectroscopic information and/or astrophysical
information. A new method, the eXtended Continuum Discretized Coupled Channel
(XCDCC) method, was developed to incorporate, in a consistent way and to all
orders, core excitation in the bound and scattering states of the projectile,
as well as dynamical excitation of the core as it interacts with the target.
The model predicts cross sections to specific states of the core. It is applied
to the breakup of $^{11}$Be on $^9$Be at 60 MeV/u, and the calculated cross
sections are in improved agreement with the data. The distribution of the cross
section amongst the various core states is shown to depend on the reaction
model used, and not simply on the ground state spectroscopic factors.


title: XCDCC: Core Excitation in the Breakup of Exotic Nuclei

abstract:
  The eXtended Continuum Discretized Coupled Channel (XCDCC) method is
developed to treat reactions where core degrees of freedom play a role. The
projectile is treated as a multi-configuration coupled channels system
generated from a valence particle coupled to a deformed core which is allowed
to excite. The coupled channels initial state breaks up into a coupled channels
continuum which is discretized into bins, similarly to the original CDCC
method. Core collective degrees of freedom are also included in the interaction
of the core and the target, so that dynamical effects can occur during the
reaction. We present results for the breakup of $^{17}$C=$^{16}$C+n and
$^{11}$Be=$^{10}$Be+n on $^{9}$Be. Results show that the total cross section
increases with core deformation. More importantly, the relative percentage of
the various components of the initial state are modified during the reaction
process through dynamical effects. This implies that comparing spectroscopic
factors from structure calculations with experimental cross sections requires
more detailed reaction models that go beyond the single particle model.


title: Gamow shell model and realistic nucleon-nucleon interactions

abstract:
  We present a new and efficient method to obtain a Gamow shell-model basis and
matrix elements generated by realistic nucleon-nucleon interactions. We derive
a self-consistent Hartree-Fock potential from the renormalized N3LO interaction
model. The corresponding Gamow one-body eigenstates are generated in a plane
wave basis in order to build a Gamow shell-model set of basis states for the
closed shell nuclei 4He and 16O. We address also the problem of representing a
realistic nucleon-nucleon interaction in a two-particle Berggren basis in the
laboratory frame. To achieve this, an expansion of matrix elements of the
residual nucleon-nucleon interaction in a finite set of harmonic oscillator
wave functions is used. We show that all loosely bound and narrow resonant
states converge surprisingly fast. Even broad resonances in these two-particle
valence systems converge within a reasonable number of harmonic oscillator
functions. Examples of 6He and 18O Gamow shell-model calculations using 4He and
16}O as closed shell cores are presented. This procedure allows Gamow
shell-model calculations to be performed with all realistic nucleon-nucleon
interactions and with either momentum or position space representations for the
Gamow basis. The possibility to remove the center of mass spuriosity of Gamow
shell-model nuclear states with this method is also discussed. Perspectives for
nuclear structure calculations of dripline nuclei are outlined.


title:
Pygmy dipole resonance as a constraint on the neutron skin of heavy
  nuclei

abstract:
  The isotopic dependence of the isovector Pygmy dipole response in tin is
studied within the framework of the relativistic random phase approximation.
Regarded as an oscillation of the neutron skin against the isospin-symmetric
core, the pygmy dipole resonance may place important constraints on the neutron
skin of heavy nuclei and, as a result, on the equation of state of neutron-rich
matter. The present study centers around two questions. First, is there a
strong correlation between the development of a neutron skin and the emergence
of low-energy isovector dipole strength? Second, could one use the recently
measured Pygmy dipole resonance in 130Sn and 132Sn to discriminate among
theoretical models? For the first question we found that while a strong
correlation between the neutron skin and the Pygmy dipole resonance exists, a
mild anti-correlation develops beyond 120Sn. The answer to the second question
suggests that models with overly large neutron skins--and thus stiff symmetry
energies--are in conflict with experiment.


title:
Theoretical Study on Rotational Bands and Shape Coexistence of
  $^{183,185,187}${Tl} in the Particle Triaxial-Rotor Model

abstract:
  By taking the particle triaxial-rotor model with variable moment of inertia,
we investigate the energy spectra, the deformations and the single particle
configurations of the nuclei $^{183,185,187}$Tl systemically. The calculated
energy spectra agree with experimental data quite well. The obtained results
indicate that the aligned bands observed in $^{183,185,187}$Tl originate from
the $[530]{{1/2}}^{-}$, $[532]{{3/2}}^{-}$, $[660]{{1/2}}^{+}$ proton
configuration coupled to a prolate deformed core, respectively. Whereas, the
negative parity bands built upon the ${{9/2}}^{-}$ isomeric states in
$^{183,185,187}$Tl are formed by a proton with the $[505]{{9/2}}^{-}$
configuration coupled to a core with triaxial oblate deformation, and the
positive parity band on the ${{13/2}}^{+}$ isomeric state in $^{187}$Tl is
generated by a proton with configuration $[606]{{13/2}}^{+}$ coupled to a
triaxial oblate core.


title:
Constraints on the high-density nuclear equation of state from the
  phenomenology of compact stars and heavy-ion collisions

abstract:
  A new scheme for testing nuclear matter equations of state (EsoS) at high
densities using constraints from neutron star phenomenology and a flow data
analysis of heavy-ion collisions is suggested. An acceptable EoS shall not
allow the direct Urca process to occur in neutron stars with masses below
$1.5~M_{\odot}$, and also shall not contradict flow and kaon production data of
heavy-ion collisions. Compact star constraints include the mass measurements of
2.1 +/- 0.2 M_sun (1 sigma level) for PSR J0751+1807, of 2.0 +/- 0.1 M_sun from
the innermost stable circular orbit for 4U 1636-536, the baryon mass -
gravitational mass relationships from Pulsar B in J0737-3039 and the
mass-radius relationships from quasiperiodic brightness oscillations in 4U
0614+09 and from the thermal emission of RX J1856-3754. This scheme is applied
to a set of relativistic EsoS constrained otherwise from nuclear matter
saturation properties with the result that no EoS can satisfy all constraints
simultaneously, but those with density-dependent masses and coupling constants
appear most promising.


title: Femtoscopy in hydro-inspired models with resonances

abstract:
  Effects of the choice of the freeze-out hypersurface and resonance decays on
the HBT interferometry in relativistic heavy-ion collisions are studied in
detail within a class of models with single freeze-out. The Monte-Carlo method,
as implemented in THERMINATOR, is used to generate hadronic events describing
production of particles from a thermalized and expanding source. All
well-established hadronic resonances are included in the analysis as their role
is crucial at large freeze-out temperatures. We use the two-particle method to
extract the correlation functions, which allows us to study the Coulomb
effects. We find that the pion HBT data from RHIC are fully compatible with the
single freeze-out scenario, pointing at the shape of the freeze-out
hypersurface where the transverse radius is decreasing with time. Results for
the single-particle spectra for this situation are also presented. Finally, we
present predictions for the kaon femtoscopy.


title:
On The Double And Triple-Humped Fission Barriers And Half-Lives Of
  Actinide Elements

abstract:
  The potential energy of a deformed nucleus has been determined within a
Generalized Liquid Drop Model taking into account the proximity energy, the
microscopic corrections and compact and necked shapes. Multiple-humped
potential barriers appear. A third minimum and third maximum exist in specific
exit channels where one fragment is close to a magic spherical nucleus while
the other one varies from oblate to prolate shapes. The heights of the fission
barriers and half-lives of actinides are in agreement with the experimental
results.


title: Correlations in Nuclear Masses

abstract:
  It was recently suggested that the error with respect to experimental data in
nuclear mass calculations is due to the presence of chaotic motion. The theory
was tested by analyzing the typical error size. A more sensitive quantity, the
correlations of the mass error between neighboring nuclei, is studied here. The
results provide further support to this physical interpretation.


title: Links Between Heavy Ion and Astrophysics

abstract:
  Heavy ion experiments provide important data to test astrophysical models.
The high density equation of state can be probed in HI collisions and applied
to the hot protoneutron star formed in core collapse supernovae. The Parity
Radius Experiment (PREX) aims to accurately measure the neutron radius of
$^{208}$Pb with parity violating electron scattering. This determines the
pressure of neutron rich matter and the density dependence of the symmetry
energy. Competition between nuclear attraction and coulomb repulsion can form
exotic shapes called nuclear pasta in neutron star crusts and supernovae. This
competition can be probed with multifragmentation HI reactions. We use large
scale semiclassical simulations to study nonuniform neutron rich matter in
supernovae. We find that the coulomb interactions in astrophysical systems
suppress density fluctuations. As a result, there is no first order liquid
vapor phase transition. Finally, the virial expansion for low density matter
shows that the nuclear vapor phase is complex with significant concentrations
of alpha particles and other light nuclei in addition to free nucleons.


title:
A General Effective Action for Quark Matter and its Application to Color
  Superconductivity

abstract:
  I derive a general effective theory for hot and/or dense quark matter. After
introducing general projection operators for hard and soft quark and gluon
degrees of freedom, I explicitly compute the functional integral for the hard
quark and gluon modes in the QCD partition function. Upon appropriate choices
for the projection operators one recovers various well-known effective theories
such as the Hard Thermal Loop/ Hard Dense Loop Effective Theories as well as
the High Density Effective Theory by Hong and Schaefer. I then apply the
effective theory to cold and dense quark matter and show how it can be utilized
to simplify the weak-coupling solution of the color-superconducting gap
equation. In general, one considers as relevant quark degrees of freedom those
within a thin layer of width 2 Lambda_q around the Fermi surface and as
relevant gluon degrees of freedom those with 3-momenta less than Lambda_gl. It
turns out that it is necessary to choose Lambda_q << Lambda_gl, i.e.,
scattering of quarks along the Fermi surface is the dominant process. Moreover,
this special choice of the two cutoff parameters Lambda_q and Lambda_gl
facilitates the power-counting of the numerous contributions in the
gap-equation. In addition, it is demonstrated that both the energy and the
momentum dependence of the gap function has to be treated self-consistently in
order to determine the imaginary part of the gap function. For quarks close to
the Fermi surface the imaginary part is calculated explicitly and shown to be
of sub-subleading order in the gap equation.


title: Level density of a Fermi gas: average growth and fluctuations

abstract:
  We compute the level density of a two--component Fermi gas as a function of
the number of particles, angular momentum and excitation energy. The result
includes smooth low--energy corrections to the leading Bethe term (connected to
a generalization of the partition problem and Hardy--Ramanujan formula) plus
oscillatory corrections that describe shell effects. When applied to nuclear
level densities, the theory provides a unified formulation valid from
low--lying states up to levels entering the continuum. The comparison with
experimental data from neutron resonances gives excellent results.


title: Electroweak interactions in a relativistic Fermi gas

abstract:
  We present a relativistic model for computing the neutrino mean free path in
neutron matter. Thereby, neutron matter is described as a non-interacting Fermi
gas in beta-equilibrium. We present results for the neutrino mean free path for
temperatures from 0 up to 50 MeV and a broad range of neutrino energies. We
show that relativistic effects cause a considerable enhancement of
neutrino-scattering cross-sections in neutron matter. The influence of the
$Q^2$-dependence in the electroweak form factors and the inclusion of a weak
magnetic term in the hadron current is discussed. The weak-magnetic term in the
hadron current is at the origin of some selective spin dependence for the
nucleons which are subject to neutrino interactions.