Elastic scatering cross-sections obtained on the basis of the potential of the modified Thomas-Fermi method and taking the core into account

Abstract

Nucleon density distributions and nucleus-nucleus interaction potentials for the reactions ${}^{16}$O+${}^{40}$Ca, ${}^{16}$O+${}^{56}$Fe and ${}^{16}$O+${}^{90}$Zr have been calculated in the framework of the modified Thomas-Fermi method and considering all terms up to the second order in $\hslash$ in the quasi-classical expansion of the kinetic energy. Skyrme forces dependent on the nucleon density are used as the nucleon-nucleon interaction. A parametrization of the nucleus-nucleus interaction potential, which well describes the potential value calculated within the modified Thomas-Fermi approach with density-dependent Skyrme forces, is found. On the basis of the obtained potentials, the cross-sections of elastic scattering are calculated in a good agreement with experimental data.

Comments: 8 pages, 5 figures