the nucleus $^{126}$Ba as function of angular momentum at fixed total excitation energy (left) and of temperature at fixed angular momentum (right).\
Fig. 1 shows the fusion and fission cross-sections obtained for the system $^{28}$Si$ + ^{98}$Mo$ \rightarrow ^{126}$Ba at a total excitation energy of $E^*_{tot} = 118.5$ MeV. One notices that fission yields are rather small and located in the tail of the spin distribution at high values of the angular momentum where fission barriers are low. A study of the fission-barrier height as function of angular momentum and thermal excitation energy is given in Fig. 2 from which we conclude that a careful description of the fusion cross-section through its initial spin distribution is necessary if one wants to describe the competition between the decay by fission and light-particle evaporation.\

Light-particle emission
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Fission dynamics of an excited rotating nucleus usually goes along with the emission of light particles (we will consider neutrons, protons and $\alpha$ particles). This evaporation process is governed by the emission width $\Gamma_{\nu}^{\mu \kappa}(E^*,L)$ for emitting a particle of type $\nu$, energy $\varepsilon_{\mu}$ and angular momentum $\ell_{\kappa}$ from a nucleus characterized by its thermal excitation energy $E^*$ and its rotational angular momentum $L$. 