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Energy Levels Calculations of 24Al and 25Al Isotopes

Received: 10 December 2016    Accepted: 28 December 2016    Published: 20 January 2017
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Abstract

In this article, the energy levels of Aluminum isotopes 24Al and 25Al are calculated using OXBASH shell model code. The calculations were carried out in the SD model space with the W and CW Hamiltonian [1, 2] using the code OXBASH for windows PC [3]. This code which is based on one of the most applicable nuclear models, the shell model, deals with evaluating energy levels in nuclei. Using this code to calculate the energy levels of an isotope, produces several files that contains a set of data. The ground state energy of a nucleus and also the probable energies of excitation levels can be calculated by OXBASH. Programs will be reliable only when results meet experimental procedures. A compilation of SD-shell energy levels calculated with the USD Hamiltonian was published around 1988. A comparison had been made between our results and the available experimental data to test theoretical shell model description of nuclear structure in Aluminum isotopes. The calculated energy spectrum is in good agreement with the available experimental data.

DOI 10.11648/j.ns.20170201.11
Published in Nuclear Science (Volume 2, Issue 1, March 2017)
Page(s) 1-4
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

Aluminum Isotopes, OXBASH Code, Shell Model Structure, USD Interaction

References
[1] B. H. Wildenthal and W. Chung, in "Mesons in Nuclei", edited by M. Rho and D. Wilkinson (North-Holland, Amsterdam, 1979), Vol. II., p. 722.
[2] B.H. Wildenthal, Prog. Part. Nucl. Phys. 11 (1984).
[3] 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.
[4] Saeed Mohammadi, Sara Sirjani. Energy Levels Calculations of 29S, 30S and 31S Isotopes.American Journal of Modern Physics.SpecialIssue: Many Particle Simulations. Vol. 4, No. 3-1, 2015, pp. 5-9. doi: 10.11648/j.ajmp.s.2015040301.12.
[5] 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.
[6] 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.
[7] S. Mohammadi, A. Heydarzade, V. Ragheb. Energy Levels Calculations of 28,30Na and 26,28Al 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.
[8] 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.
[9] 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.
[10] 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.
[11] S. Mohammadi, S. Hesami Rostami, A. Rashed Mohasel and M. Ghamary. Energy Levels Calculations of 36-37-38Ar Isotopes Using Shell Model Code OXBASH.American Journal of Modern Physics.Special Issue: Many Particle Simulations. Vol. 4, No. 3-1, 2015, pp. 23-26. doi: 10.11648/j.ajmp.s.2015040301.15.
[12] Nuclear Physics Graduate Course: Nuclear Structure Notes, Oxford, (1980).
[13] Effective interactions and the nuclear shell-model, D.J. Dean,T. Engeland M. Hjorth-Jensen, M.P. Kartamyshev, E. Osnes, Progress in Particle and Nuclear Physics 53 419–500(2004).
[14] N. A. Smirnova, Shell structure evolution and effective in-medium NN interaction, Chemin du Solarium, BP 120, 33175 Gradignan, France.
[15] W. A. Richter, M. G. van der Merwe, R. E. Julies, B. A. Brown, Nucl. Phys. A 523,325, (1991).
[16] R. E. Julies, PhD. thesis, University of Stelenbosch, (1990).
[17] M. G. van der Merwe, PhD. thesis, University of Stelenbosch (1992).
[18] B. A. Brown and B. H. Wildenthal, Ann. Rev. of Nucl. Part. Sci. 38, 29 (1988).
[19] B.A. Brown, W.A. Richter, New “USD”Hamiltonians for the sd shell, Physical Review C, 74 (2006).
[20] B.H. Wildenthal, Prog. Part. Nucl. Phys. 11, 5 (1984), and references therein.
[21] M. Homma, B. A. Brown, T. Mizusaki and T. Otsuka, Nucl. Phys.A704, 134c (2002).
[22] B. A. Brown and W. A. Richter, Phys. Rev. C 74, 034315, (2006).
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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  • APA Style

    Saeed Mohammadi, Banafsheh Nemati Giv, Nafiseh Shayan Shakib. (2017). Energy Levels Calculations of 24Al and 25Al Isotopes. Nuclear Science, 2(1), 1-4. https://doi.org/10.11648/j.ns.20170201.11

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    ACS Style

    Saeed Mohammadi; Banafsheh Nemati Giv; Nafiseh Shayan Shakib. Energy Levels Calculations of 24Al and 25Al Isotopes. Nucl. Sci. 2017, 2(1), 1-4. doi: 10.11648/j.ns.20170201.11

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    AMA Style

    Saeed Mohammadi, Banafsheh Nemati Giv, Nafiseh Shayan Shakib. Energy Levels Calculations of 24Al and 25Al Isotopes. Nucl Sci. 2017;2(1):1-4. doi: 10.11648/j.ns.20170201.11

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  • @article{10.11648/j.ns.20170201.11,
      author = {Saeed Mohammadi and Banafsheh Nemati Giv and Nafiseh Shayan Shakib},
      title = {Energy Levels Calculations of 24Al and 25Al Isotopes},
      journal = {Nuclear Science},
      volume = {2},
      number = {1},
      pages = {1-4},
      doi = {10.11648/j.ns.20170201.11},
      url = {https://doi.org/10.11648/j.ns.20170201.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ns.20170201.11},
      abstract = {In this article, the energy levels of Aluminum isotopes 24Al and 25Al are calculated using OXBASH shell model code. The calculations were carried out in the SD model space with the W and CW Hamiltonian [1, 2] using the code OXBASH for windows PC [3]. This code which is based on one of the most applicable nuclear models, the shell model, deals with evaluating energy levels in nuclei. Using this code to calculate the energy levels of an isotope, produces several files that contains a set of data. The ground state energy of a nucleus and also the probable energies of excitation levels can be calculated by OXBASH. Programs will be reliable only when results meet experimental procedures. A compilation of SD-shell energy levels calculated with the USD Hamiltonian was published around 1988. A comparison had been made between our results and the available experimental data to test theoretical shell model description of nuclear structure in Aluminum isotopes. The calculated energy spectrum is in good agreement with the available experimental data.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Energy Levels Calculations of 24Al and 25Al Isotopes
    AU  - Saeed Mohammadi
    AU  - Banafsheh Nemati Giv
    AU  - Nafiseh Shayan Shakib
    Y1  - 2017/01/20
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ns.20170201.11
    DO  - 10.11648/j.ns.20170201.11
    T2  - Nuclear Science
    JF  - Nuclear Science
    JO  - Nuclear Science
    SP  - 1
    EP  - 4
    PB  - Science Publishing Group
    SN  - 2640-4346
    UR  - https://doi.org/10.11648/j.ns.20170201.11
    AB  - In this article, the energy levels of Aluminum isotopes 24Al and 25Al are calculated using OXBASH shell model code. The calculations were carried out in the SD model space with the W and CW Hamiltonian [1, 2] using the code OXBASH for windows PC [3]. This code which is based on one of the most applicable nuclear models, the shell model, deals with evaluating energy levels in nuclei. Using this code to calculate the energy levels of an isotope, produces several files that contains a set of data. The ground state energy of a nucleus and also the probable energies of excitation levels can be calculated by OXBASH. Programs will be reliable only when results meet experimental procedures. A compilation of SD-shell energy levels calculated with the USD Hamiltonian was published around 1988. A comparison had been made between our results and the available experimental data to test theoretical shell model description of nuclear structure in Aluminum isotopes. The calculated energy spectrum is in good agreement with the available experimental data.
    VL  - 2
    IS  - 1
    ER  - 

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