Ground state properties of even-even and odd Nd,Ce and Sm isotopes in Hartree-Fock-Bogoliubov method

TL;DR

This study investigates the ground-state properties of Nd, Ce, and Sm isotopes using the Hartree-Fock-Bogoliubov method with a new pairing strength formula, comparing results with experimental data and other models.

Contribution

It introduces a generalized pairing strength formula within the HFB method and applies it to multiple isotopes for validation against experimental and theoretical data.

Findings

The new pairing formula yields results consistent with experimental data.

Calculated properties align well with those from other nuclear models.

The approach effectively describes both even-even and odd isotopes.

Abstract

In this work, we have studied ground-state properties of both even-even and odd Nd isotopes within Hartree-Fock-Bogoliubov method with SLy5 Skyrme force in which the pairing strength has been generalized with a new proposed formula. We calculated bind- ing energies, two-neutron separation energies, quadrupole deformation, charge, neutron and proton radii. Similar calculations have been carried out for Ce and Sm in order to verify the validity of our pairing strength formula. The results have been compared with available experimental data, the results of Hartree-Fock-Bogoliubov calculations based on the D1S Gogny effective nucleon-nucleon interaction and predictions of some nuclear models such as Finite Range Droplet Model (FRDM) and Relativistic Mean Field (RMF) theory.