Ground State Properties and Shape Transition of Even-Even 76Os, 78Pt, 80Hg and 82Pb Isotopes in the Framework of Skyrme Hartree-Fock-Bogoliubov Theory

Abstract

The Hartree-Fock-Bogolyubov (HFB) theory is a good theoretical approximation for describing the nuclear structure of neutron-rich deformed nuclei, it generalized the HF theory with BCS pairing theory. In this work, ground-state properties of eveneven 76Os, 78Pt, 80Hg and 82Pb isotopes from proton drip-line to neutron drip-line have been studied in the framework of the axially deformed Hartree-Fock-Bogoliubov (HFB) method with two Skyrme nucleon-nucleon force HFB9 and UNE1. The numerically calculated results of binding energy, two-neutron separation energy, two-neutron shell gap, quadrupole deformation, neutron pairing gap and charge radius are discussed and compared with the corresponding values obtained in the present experiment, Finite Range Droplet Model (FRDM), Relativistic Mean-Field (RMF) and Hartree-Fock-Bogoliubov based on D1S Gognay force. The energy surface curves are plotted for some isotones of the investigated nuclei, the transition in the shapes was clear with the change in the number of neutrinos. The calculations obtained from this study show good agreements in comparison with other data and results.

Ground State Properties of Even-Even 30−92Ca Isotopes Using HFB Theory.

“…Despite passing more than a century on the discovery of nuclear physics, scientists are still seeking to reach a universal theory that be able to clarify the general description about nuclear structure properties and the shape of nucleus of all well-known nuclei with high accuracy [1,2,3]. Therefore, the essential objective of theoretical researches in this field is to understand the reaction properties, shape, size and structure of each of the nuclei in the periodic table [4,5,6].…”

“…This is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY 4.0) license (https://creativecommons.org/license/by/4.0/) direct solution and speculative models before moving on to more complex ones. For nuclei with small proton number such as ( 4 2 He, 7 3 Li,. .…”