Sub-barrier fusion of stable and unstable nuclei with a microscopic interaction and Skyrme-Hartree-Fock densities

Abstract

The fusion cross sections, barrier, and spin distributions of stable and unstable nuclei are investigated through a coupled-channel approach using a density and energy-dependent effective Brueckner $G$-matrix interaction. Calculations are carried out for the fusion reactions ${}^{16,18,20,22,24}\mathrm{O}\phantom{\rule{0.16em}{0ex}}+{\phantom{\rule{0.16em}{0ex}}}^{58}$Ni and ${}^{28}\mathrm{Si}\phantom{\rule{0.16em}{0ex}}+{\phantom{\rule{0.16em}{0ex}}}^{58,62,64}$Ni. Microscopic Skyrme-Hartree-Fock proton and neutron density distributions are used in the calculations. It is found that the energy dependence of the interaction potential enhances the fusion cross section, where it increases with increasing energy due to the decrease in the interaction barrier. The density dependence of the interaction is found to be of great importance, especially for unstable nuclei, since it directly relates the fusion cross section with the nuclear structure. The effect of the neutron skin is found to largely increase the fusion cross section and spin distribution due to the increase in the overlap region. The coupling to the inelastic excited states strongly enhances the fusion cross sections. The effect of the difference between the nuclear and charge deformations is also investigated.