Hartree-Fock-Bogoliubov calculation of ground state properties of even-even and odd Mo and Ru isotopes

TL;DR

This paper uses the Hartree-Fock-Bogoliubov method with SLy4 force and a new pairing formula to study ground-state properties of Mo and Ru isotopes, comparing results with experimental data and other models.

Contribution

It introduces a more accurate pairing strength formula for Mo and Ru isotopes within the HFB framework, extending previous work to new isotopes and forces.

Findings

Results agree well with experimental data.

The new pairing formula improves accuracy.

Comparisons with other models validate the approach.

Abstract

In a previous work [Int. J. Mod. Phys. E 24, 1550073 (2015)], hereafter referred as paper I, we have investigated the ground-state properties of Nd, Ce and Sm isotopes within Hartree-Fock-Bogoliubov method with SLy5 skyrme force in which the pairing strength has been generalized with a new proposed formula. However, that formula is more appropriate for the region of Nd. In this work, we have studied the ground-state properties of both even-even and odd Mo and Ru isotopes. For this, we have used Hartree- Fock-Bogoliubov method with SLy4 skyrme force, and a new formula of the pairing strength which is more accurate for this region of nuclei. 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.