Cross Sections of Elastic Scattering for Systems 16O + 42Ca, 16O + 48Ca within the Modified Thomas–Fermi Method with Taking the Repulsion Core into Account

Within the framework of the modified Thomas–Fermi method, the distribution densities of nucleons and nucleus-nucleus interaction potentials for the reactions 16O + 42Ca and 16O + 48Ca have been calculated. Besides, all contributions up to the second-order terms in ħ in the quasiclassical expansion of the kinetic energy are taken into account, and Skyrme forces, which depend on density, are used as the nucleon-nucleon interaction. A convenient parametrization of the potentials between nuclei has been obtained, allowing them to be represented in analytic form. Using the obtained potentials, the elastic scattering cross-sections are calculated, which agree well with the available experimental data.