Description of the shape of medium and heavy nuclei using a finite deformed one-particle potential with deformation-dependent diffuseness

TL;DR

This paper introduces a modified nuclear potential model that accounts for deformation-dependent surface diffuseness, improving the description of medium and heavy nuclei's shapes and matching experimental data.

Contribution

It presents a novel approach incorporating deformation-dependent diffuseness into the finite potential model for nuclei, validated against experimental and macro-microscopic data.

Findings

Model accurately describes ground-state deformations of various nuclei.

Deformation-dependent diffuseness improves potential energy calculations.

Results align with experimental data and advanced theoretical models.

Abstract

Adjustment of the behavior of the potential energy of nuclear deformation, defined as the sum of the energies of lowest-lying occupied single-particle levels in a deformed finite potential with a pairing correction, is considered by taking into account the dependence of the diffuseness of the surface of the potential on deformation. To verify this approach we construct a non-axial ellipsoidally-deformed potential with a slight (of the order of 1\%) variation of the surface diffuseness at moderate deformations. Parameters of the variation are determined from a calculation for a group of 36 deformed, transitional, and spherical nuclei in the range $50 \le A \le 241$ using existing experimental data on static quadrupole moments. In order to test the performed parameter choice, we applied the model to description of the ground-state deformation of the isotopic chains $^{95-132}$Cd and $^{74-106}$Sr. The obtained description of the ground state deformation of the considered nuclei is in agreement with experimental data and results of macro-microscopic models and calculations using the Hartree-Fock-Bogoliubov method.