Abstract

Coulomb Displacement Energies in mirror nuclei 49 Mn and 49 Cr have been calculated using shell model code OXBASH and compared with experimental results. The calculations were carried out in the F7PN model space with the F748BPN Hamiltonian. This code which is based on one of the most applicable nuclear models, the shell model, deals with evaluating energy levels in nuclei. A comparison had been made between calculated results and the available experimental data to test theoretical shell model description of nuclear structure in mirror nuclei. The energy states of mirror nuclei are almost identical, except for the small effects due to Coulomb interaction where the symmetry in being broken. The calculated energy spectrum is in good agreement with the available experimental data.

Highlights

  • Obtaining the nuclear structure and energy levels of nuclei is one of the criteria to improve investigations of nuclei properties

  • The energy states of mirror nuclei are almost identical, except for the small effects due to Coulomb interaction where the symmetry in being broken

  • The study of this symmetry breaking reveals details of the mirror nuclei structure. This shift in mirror symmetry will be observed mostly as a function of spin, where the protons and/or neutrons rearrange themselves in new shell model orbits and cause changes in Coulomb energy differences

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Summary

Introduction

Obtaining the nuclear structure and energy levels of nuclei is one of the criteria to improve investigations of nuclei properties. The study of this symmetry breaking reveals details of the mirror nuclei structure This shift in mirror symmetry will be observed mostly as a function of spin, where the protons and/or neutrons rearrange themselves in new shell model orbits and cause changes in Coulomb energy differences. These effects, known as Coulomb Displacement Energies (CDE), have been the subject of several studies in nuclear structure physics [7,8,9]. It is fully possible to work to large-scale shell-model data and study the excitation levels for larger systems In these systems, inert core is assumed and space is determined by considering shell gaps.

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