the correlated Hamiltonian effectively cancel each other. As was subsequently shown within many-body perturbation theory [@RPP2006], and verified by RPA calculations [@BPR2006], this cancelation remains at work throughout the nuclear chart, as far as the binding energy is concerned. The same does not necessarily hold, however, for other ground-state observables, such as charge radii, or for excited-state properties.

In this work we will use the correlated Argonne V18 potential with $I_{\vartheta}^{(1,0)}=0.09$ fm$^3$. No tensor correlator is employed in the triplet-odd channel, where the tensor interaction is much weaker. We start from a Hamiltonian which consists of the intrinsic kinetic energy and the $V_{\text{UCOM}}$ interaction derived from the Argonne V18 potential including the Coulomb potential, $$\label{eq:hintr}
  \mathcal{H} = {H}_{\text{int}} 
  = T - T_{\text{cm}} + V_{\text{UCOM}} 
  = T_{\text{int}} + V_{\text{UCOM}} \;,$$ in two-body approximation. The intrinsic kinetic energy operator reads, $$\label{intrke}
  T_{\text{int}} 
  = T - T_{\text{cm}} 
  = \frac{2}{A} \frac{1}{m} \sum_{i<j}^{A} (\bm{p}_i - \bm{p}_j)^2 ,$$ where we assume equal proton and neutron masses, $m$. It is the two-body Hamiltonian $H_{\text{int}}$ of Eq. (\[eq:hintr\]) that has been used in Hartree-Fock (HF), perturbation-theory, and RPA calculations in Refs. [@RPP2006; @PPH2006] and that will be employed in this work too. In practice, two-body matrix elements in 