Single Folding Potential Calculations in ¹⁴¹Pr

¹ Akdeniz University, Physics Department, Antalya Turkiye
² MEB, Goynuk Science High School, Antalya, Turkiye
³ Akdeniz University, Faculty of Medicine, Radiation Oncology, Antalya Turkiye
⁴ Akdeniz University, Nuclear Research and Application Centre, Antalya Turkiye
⁵ Osmaniye Korkut Ata Uni., Fac. of Eng. and Nat. Sci, Dept. of Physics, Osmaniye, Turkiye
⁶ Kirikkale Uni., Fac. of Eng. and Nat. Sci, Dept. of Physics, Kirikkale, Turkiye

^* e-mail: ferhanakdeniz@gmail.com

Published online: 8 October 2024

Abstract

In this study, Skyrme and Gogny forces have been used to describe interactions for Hartree-Fock (HF) and Hartree-Fock-Bogoliubov (HFB) calculations, considering all nucleons to evaluate nucleon densities. The nucleon densities of the ¹⁴¹Pr were calculated by using the Skyrme-HF (SHF) method with Woods-Saxon Potential (SHF-WS) and with Harmonic Oscillator Potential (SHF-HO), HFB method with Skyrme (HFB-S) and with Gogny (HFB-G) interactions. In these calculations, the effects of the three-body force have been accounted for in both Skyrme and Gogny forces through a density-dependent term necessary to describe various properties of nuclei and nuclear matter. The root-mean-square (rms) radii of proton, neutron, and charge densities of the nucleus were calculated using the density-dependent Skyrme-type effective nucleon-nucleon (NN) interaction in the HF approach. The Folding potential, developed to describe nucleon-nucleus (n-Pr) elastic scattering data, was obtained by single folding potential to calculate reaction cross-section calculations for ¹⁴¹Pr target. The calculated cross-sections, obtained using density data from four different models, were compared with each other and with experimental data from the literature for analysis and interpretation of the results.