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Energy Levels Calculations in 23Mg/23Na and 47Cr/47V Mirror Nuclei

Received: 18 December 2017    Accepted: 29 December 2017    Published: 17 January 2018
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Abstract

Coulomb Displacement Energies in mirror nuclei 23Mg, 23Na and 47Cr, 47V 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.

Published in American Journal of Physics and Applications (Volume 6, Issue 1)
DOI 10.11648/j.ajpa.20180601.15
Page(s) 22-25
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Mirror Nuclei, OXBASH Code, Shell Model Structure, Model Space, Energy Levels

References
[1] OXBASH for Windows, B. A. Brown, A. Etchegoyen, N. S. Godwin, W. D. M. Rae, W. A. Richter, W. E. Ormand, E. K. Warburton, J. S. Winfield, L. Zhao and C. H. Zimmerman, MSU_NSCL report number 1289.
[2] The Empirical (1f7/2)n Model, W. Kutschera, B. A. Brown and K. Ogawa, La Rivista del Nuovo Cimento 11, (1978).
[3] J. A. Cameron, et al, High-spin states in the mirror nuclei 49Cr and 49Mn, Phys. Lett. B 235 (1990) 235.
[4] C. D. O'Leary, et al, Mirror Symmetry Up to the Band Termination in 49Mn and 49Cr, Phys. Rev. Lett. 79, 4349 (1997).
[5] S. M. Lenzi, Coulomb energy differences in mirror nuclei, Journal of Physics: Conference Series 49 (2006) 85–90.
[6] K. S. Krane, Introductory Nuclear Physics, 3rd edition, John Wiley & Sons, 1988.
[7] S. Mohammadi, S. Arbab, E. Tavakoli. Energy Levels Calculations of 22-23Na and 24-26Mg Isotopes Using Shell Model Code OXBASH. American Journal of Modern Physics. Special Issue: Many Particle Simulations. Vol. 4, No. 3-1, 2015, pp. 27-31. doi: 10.11648/j.ajmp.s.2015040301.16.
[8] Saeed Mohammadi, Monna Chobbdar. Energy Levels Calculations of 32Cl and 33Cl Isotopes. American Journal of Modern Physics. Special Issue: Many Particle Simulations. Vol. 4, No. 3-1, 2015, pp. 10-14. doi: 10.11648/j.ajmp.s.2015040301.13.
[9] S. Mohammadi, A. Heydarzade, V. Ragheb. Energy Levels Calculations of 28, 30 Na and 26, 28 Al Isotopes Using Shell Model Code OXBASH, American Journal of Modern Physics. Special Issue: Many Particle Simulations. Vol. 4, No. 3-1, 2015, pp. 32-35. doi: 10.11648/j.ajmp.s.2015040301.17.
[10] S. Mohammadi, F. Bakhshabadi. Calculation of the Energy Levels of Phosphorus Isotopes (A=31 to 35) by Using OXBASH Code. American Journal of Modern Physics. Special Issue: Many Particle Simulations. Vol. 4, No. 3-1, 2015, pp. 15-22. doi: 10.11648/j.ajmp.s.2015040301.14.
[11] Saeed Mohammadi, Maryam Mounesi. Energy Levels Calculations of 20Ne and 21Ne Isotopes. American Journal of Modern Physics. Special Issue: Many Particle Simulations. Vol. 4, No. 3-1, 2015, pp. 36-39. doi: 10.11648/j.ajmp.s.2015040301.18.
[12] Saeed Mohammadi, Hassan Rostam Nezhad. Energy Levels Calculations of 26Al and 29Al Isotopes. American Journal of Modern Physics. Special Issue: Many Particle Simulations. Vol. 4, No. 3-1, 2015, pp. 1-4. doi: 10.11648/j.ajmp.s.2015040301.11.
[13] D. J. Dean, et al, Effective interactions and the nuclear shell-model, Progress in Particle and Nuclear Physics 53 (2004) 419–500.
[14] N. A. Smirnova, et al, Shell structure evolution and effective in-medium NN interaction, PHYSICAL REVIEW C 86, (2012) 034314.
[15] Table of Isotopes, edited by R. B. Firestone, 8th edition, John Wiley & Sons, 1990.
Cite This Article
  • APA Style

    Saeed Mohammadi, Alireza Ghayeni, Asiyeh Roushan. (2018). Energy Levels Calculations in 23Mg/23Na and 47Cr/47V Mirror Nuclei. American Journal of Physics and Applications, 6(1), 22-25. https://doi.org/10.11648/j.ajpa.20180601.15

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    ACS Style

    Saeed Mohammadi; Alireza Ghayeni; Asiyeh Roushan. Energy Levels Calculations in 23Mg/23Na and 47Cr/47V Mirror Nuclei. Am. J. Phys. Appl. 2018, 6(1), 22-25. doi: 10.11648/j.ajpa.20180601.15

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    AMA Style

    Saeed Mohammadi, Alireza Ghayeni, Asiyeh Roushan. Energy Levels Calculations in 23Mg/23Na and 47Cr/47V Mirror Nuclei. Am J Phys Appl. 2018;6(1):22-25. doi: 10.11648/j.ajpa.20180601.15

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  • @article{10.11648/j.ajpa.20180601.15,
      author = {Saeed Mohammadi and Alireza Ghayeni and Asiyeh Roushan},
      title = {Energy Levels Calculations in 23Mg/23Na and 47Cr/47V Mirror Nuclei},
      journal = {American Journal of Physics and Applications},
      volume = {6},
      number = {1},
      pages = {22-25},
      doi = {10.11648/j.ajpa.20180601.15},
      url = {https://doi.org/10.11648/j.ajpa.20180601.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20180601.15},
      abstract = {Coulomb Displacement Energies in mirror nuclei 23Mg, 23Na and 47Cr, 47V 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.},
     year = {2018}
    }
    

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  • TY  - JOUR
    T1  - Energy Levels Calculations in 23Mg/23Na and 47Cr/47V Mirror Nuclei
    AU  - Saeed Mohammadi
    AU  - Alireza Ghayeni
    AU  - Asiyeh Roushan
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    DO  - 10.11648/j.ajpa.20180601.15
    T2  - American Journal of Physics and Applications
    JF  - American Journal of Physics and Applications
    JO  - American Journal of Physics and Applications
    SP  - 22
    EP  - 25
    PB  - Science Publishing Group
    SN  - 2330-4308
    UR  - https://doi.org/10.11648/j.ajpa.20180601.15
    AB  - Coulomb Displacement Energies in mirror nuclei 23Mg, 23Na and 47Cr, 47V 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.
    VL  - 6
    IS  - 1
    ER  - 

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Author Information
  • Department of Physics, Payame Noor University, Tehran, Iran

  • Department of Physics, Payame Noor University, Tehran, Iran

  • Department of Physics, Payame Noor University, Tehran, Iran

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