Ground State Properties of Closed Shell &amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt;He Nucleus under Compression

Mohammed Hassen Eid Abu-Sei’Leek

doi:10.4236/jamp.2018.63042

Abstract

This paper addresses the effects of nuclear properties at different potentials. Reid Soft Core (RSC) and Nijmegen potentials were used to study the nuclear system of 4He nucleus. It has been examined with and without large compression. Moreover, the constrained spherical Hartree-Fock (CSHF) approximations are used as a major tool of analysis. The dependence of the ground state properties was investigated to the degree of compression. It was noticed that it is possible to compress the nucleus to a smaller volume and the nucleus becomes more bounded using RSC than Nijmegen potential. It was also shown that the spectrum of single particle levels increases more rapidly for Nijmegen than RSC potential under compression. Finally, the radial density distribution remains constant, except in the interior region, while it is larger with RSC than Nijmegen potential. At large compression, the radial density distribution becomes larger than that in the interior region when RSC potential is used.

Highlights

Traditional nuclear model assumes that nuclei are composed of neutrons and protons
This paper addresses the effects of nuclear properties at different potentials
It was shown that the spectrum of single particle levels increases more rapidly for Nijmegen than Reid Soft Core (RSC) potential under compression

Summary

Introduction

Traditional nuclear model assumes that nuclei are composed of neutrons and protons. The structure of compressed nuclei is a current challenge of both experimental and theoretical physicists. The best available experimental and theoretical data on the structure of compressed nuclei come from the analysis of the breathing mode [1] [2] [3]. In non-relativistic nuclear model, the nucleus is considered as a nucleon system. It contains protons and neutrons without internal resonances. The problem of compression for nuclei is very useful in understanding astrophysics. The nuclei structure with their finite number of particles has to be calculated from simulating an effective N-N interaction and transition potentials which are not sufficiently well known

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