Investigation of ground-state properties of even-even and odd Pb isotopes within Hartree-Fock-Bogoliubov theory

TL;DR

This study uses Hartree-Fock-Bogoliubov theory with a new pairing strength formula to analyze ground-state properties of lead isotopes, extending predictions to exotic nuclei beyond experimental reach.

Contribution

It introduces a novel pairing strength formula within HFB theory for lead isotopes, improving predictions in regions lacking experimental data.

Findings

Calculated binding energies closely match experimental data.

Predicted properties for exotic nuclei show consistency with other models.

Enhanced understanding of neutron-rich lead isotopes' structure.

Abstract

The nuclear structure of even-even and odd lead isotopes (178-236 Pb) is investigated within the Hartree-Fock-Bogoliubov theory. Calculations are performed for a wide range of neutron numbers, starting from the proton-rich side up to the neutron-rich side, by using the SLy4 Skyrme interaction and a new proposed formula for the pairing strength which is more precise for this region of nuclei as we did in previous works in the regions of Neodymium (Nd, Z=60) [Int. J. Mod. Phys. E 24, 1550073 (2015)] and Molybdenum (Mo, Z=42) [Nuc. Phys. A 957 22-32 (2017)]. Such a new pairing strength formula allows reaching exotic nuclei region where the experimental data are not available. Calculated values of various physical quantities such as binding energy, two-neutron separation energy, and rms-radii for protons and neutrons are discussed and compared with experimental data and some estimates of other nuclear models like Finite Range Droplet Model (FRDM), Relativistic Mean Field (RMF), Density-Dependent Meson-Exchange Relativistic Energy Functional (DD-ME2) and results of Hartree-Fock-Bogoliubov calculations based on the D1S Gogny effective nucleon-nucleon interaction (Gogny D1S).