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

TL;DR

This paper calculates elastic scattering cross-sections using modified Thomas-Fermi potentials with density-dependent Skyrme forces, showing good agreement with experimental data for specific nuclear reactions.

Contribution

It introduces a new parametrization of nucleus-nucleus interaction potentials based on the modified Thomas-Fermi method with Skyrme forces, improving scattering predictions.

Findings

Calculated cross-sections match experimental data well.

Developed a parametrization of the interaction potential.

Validated the approach for multiple nuclear reactions.

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 $\hbar$ 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.