Shell model and Hartree-Fock calculations of electron scattering form factors for 25Mg nucleus

Ali A Alzubadi

doi:10.30723/ijp.v14i31.169

Abstract

Shell model and Hartree-Fock calculations have been adopted to study the elastic and inelastic electron scattering form factors for 25Mg nucleus. The wave functions for this nucleus have been utilized from the shell model using USDA two-body effective interaction for this nucleus with the sd shell model space. On the other hand, the SkXcsb Skyrme parameterization has been used within the Hartree-Fock method to get the single-particle potential which is used to calculate the single-particle matrix elements. The calculated form factors have been compared with available experimental data.

Highlights

The Hartree-Fock (HF) method has provided the most reliable and least arbitrary tool for studying the nuclear structure
In a harmonic oscillator (HO) shell-model basis the HF method takes into account the smearing of the orbit occupation probabilities far from the Fermi surface
The singleparticle matrix elements have been calculated with SHF potential with different parameterizations

Summary

Introduction

The Hartree-Fock (HF) method has provided the most reliable and least arbitrary tool for studying the nuclear structure. The diffuseness problem of the orbit occupation probabilities near the Fermi surface when using large-basis shell-model calculations leads to develop an effective approach. In this approach, the aspects HF method combine with the complex configuration mixing encountered in the shell-model calculations. Important role in accounting for many nuclear properties such as nuclear densities and form factors (longitudinal and transverse) It is usually represented by a set of two-body matrix elements, either directly determined from a best fit to experimental energy levels, or derived from a phenomenological potential. The actual nuclear interactions are approximated by an average oneparticle potential The evolution of this one-body potential is more accurately and fundamentally taken into account with the self-consistent mean-field (SCMF), which is usually treated separately from the valence interaction

The SCMF can be achieved by using

The sd model space includes the

Results and discussion

Positive parity states

Conclusions