Abstract
Coulomb Displacement Energies in mirror nuclei <sup>23</sup>Mg, <sup>23</sup>Na and <sup>47</sup>Cr, <sup>47</sup>V have been calculated using shell model code OXBASH [1] and compared with experimental results. The calculations were carried out in the USD model space with the W Hamiltonian [2]. 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 computational results in this paper 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
IntroductionThe energy states of mirror nuclei (nuclei with the same mass number and the number of protons in one of them equals the number of neutrons in the other) are almost identical, except for the small effects due to Coulomb interaction where the symmetry in being broken
The energy states of mirror nuclei are almost identical, except for the small effects due to Coulomb interaction where the symmetry in being broken
OXBASH code is a computer program that is described with a set of model spaces and interactions to apply in shell model calculations with high dimensions
Summary
The energy states of mirror nuclei (nuclei with the same mass number and the number of protons in one of them equals the number of neutrons in the other) 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. These effects, known as Coulomb Displacement Energies (CDE), have been the subject of several studies in nuclear structure physics [3,4,5]. Considering the number of valence nucleons for these nuclei, SD model space is the suitable model for these calculations which assign separate orbitals for protons and neutrons. The first column is spin of states, column two the calculated energies by OXBASH code, columns three and four the measured energies and their respective errors [4]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
