Nuclear structure study of even-even 24-42Si isotopes using Skyrme - Hartree - Fock and Hartree - Fock - Bogolyubov methods

Abstract

The nuclear ground-state properties and the nuclear deformation of some even-even Silicon isotopes have been investigated. The spherical Skyrme-Hartree-Fock method that includes Hartree-Fock calculations in addition to several common Skyrme parameterizations, such as SkB, SkM*, SkE, SkX, SLy4, Skxta, SkP, UNEDF0, and UNEDF1, has been used to calculate the nuclear ground-state charge density distributions and the associated charge radii for 28Si and 30Si, because of the availability of the experimental data for these two stable isotopes. Furthermore, the mass, neutron and proton densities with the associated radii, the binding energies, the neutron skin thickness, and the charge form factors have been calculated for 24-42Si isotopes using SkM* parameterization. The quadrupole deformations of the selected isotopes have been investigated in terms of the potential energy curves that were deduced as a function of the quadrupole deformation parameters using the axially deformed configurational Hartree-Fock-Bogolyubov calculations with SkM* parameterization.

Keywords

• nuclear ground-state properties
• skyrme-hartree-fock
• hartree-fock-bogolyubov
• quadrupole deformation
• silicon isotopes.