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Calculation of the Energy Levels of Phosphorus Isotopes (A=31 to 35) by Using OXBASH Code

Received: 28 January 2015     Accepted: 11 February 2015     Published: 9 March 2015
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Abstract

Phosphorus (P) has 23 isotopes from 24P to 46P, only one of these isotopes, 31Pis stable; such as this element is considered as a monoisotopic element. The longest-lived radioactive isotopes are 33P with a half-life of 25.34 days and the least stable is 25P with a half-life shorter than 30ns. Almost all of them are high energy beta-emitters which have valuable applications in medicine, industry, and tracer studies. Calculations of energy level properties of the Phosphor isotopic chain with A = 31 (N=15) to 35 (N=20) calculated through shell model calculations using the shell model code OXBASH for Windows. A compilation of sd-shell energy levels calculated with the USD Hamiltonian has been published around 1988.A comparison had been made between our results and the available experimental data and USD energies to test theoretical shell model description of nuclear structure in Phosphor nuclei. The calculated energy spectrum is in good agreement with the available experimental data.

Published in American Journal of Modern Physics (Volume 4, Issue 3-1)

This article belongs to the Special Issue Many Particle Simulations

DOI 10.11648/j.ajmp.s.2015040301.14
Page(s) 15-22
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), 2015. Published by Science Publishing Group

Keywords

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

References
[1] Nuclear Physics Graduate Course: Nuclear Structure Notes, Oxford, (1980)
[2] 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)
[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] W. A. Richter, M. G. van der Merwe, R. E. Julies, B. A. Brown, Nucl. Phys. A 523,325, (1991)
[5] R. E. Julies, PhD. thesis, University of Stelenbosch, (1990).
[6] M. G. van der Merwe, PhD. thesis, University of Stelenbosch (1992).
[7] B. H. Wildenthal, Prog. Part. Nucl.Phys. 11, 5 (1984).
[8] B. A. Brown and B. H. Wildenthal, Ann. Rev. of Nucl. Part. Sci. 38, 29 (1988).
[9] N. Nica and B. Singh, Nucl. Data Sheets 113, 1563 (2012).
[10] J. Chen, J. Cameron, B. Singh, Nucl. Data Sheets 112, 2715 (2011).
[11] N. A. Smirnova, Shell structure evolution and effective in-medium NN interaction, Chemin du Solarium, BP 120, 33175 Gradignan, France
[12] http://www.nscl.msu.edu/~brown/
[13] B.A. Brown, W.A. Richter, New “USD”Hamiltonians for the sd shell, Physical Review C, 74 (2006)
[14] B.H. Wildenthal, Prog. Part. Nucl. Phys. 11, 5 (1984), and references therein
[15] M. Homma, B. A. Brown, T. Mizusaki and T. Otsuka, Nucl. Phys.A 704, 134c (2002)
[16] B. A. Brown and W. A. Richter, Phys. Rev. C 74, 034315, (2006).
[17] W. A. Richter, B. A. Brown and S. Mkhize, Proceedings of the 11th International Conference on Nuclear Mechanisms Ed. by E. Gadioli, Varenna, Italy, RicercaScientiaedEducazione Permanent, Supplimento N. 126, (2006) p. 35.
[18] http://www.nscl.msu.edu/~brown/resources/SDE.HTM#a34t2
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  • APA Style

    S. Mohammadi, F. Bakhshabadi. (2015). Calculation of the Energy Levels of Phosphorus Isotopes (A=31 to 35) by Using OXBASH Code. American Journal of Modern Physics, 4(3-1), 15-22. https://doi.org/10.11648/j.ajmp.s.2015040301.14

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    ACS Style

    S. Mohammadi; F. Bakhshabadi. Calculation of the Energy Levels of Phosphorus Isotopes (A=31 to 35) by Using OXBASH Code. Am. J. Mod. Phys. 2015, 4(3-1), 15-22. doi: 10.11648/j.ajmp.s.2015040301.14

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    AMA Style

    S. Mohammadi, F. Bakhshabadi. Calculation of the Energy Levels of Phosphorus Isotopes (A=31 to 35) by Using OXBASH Code. Am J Mod Phys. 2015;4(3-1):15-22. doi: 10.11648/j.ajmp.s.2015040301.14

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  • @article{10.11648/j.ajmp.s.2015040301.14,
      author = {S. Mohammadi and F. Bakhshabadi},
      title = {Calculation of the Energy Levels of Phosphorus Isotopes (A=31 to 35) by Using OXBASH Code},
      journal = {American Journal of Modern Physics},
      volume = {4},
      number = {3-1},
      pages = {15-22},
      doi = {10.11648/j.ajmp.s.2015040301.14},
      url = {https://doi.org/10.11648/j.ajmp.s.2015040301.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.s.2015040301.14},
      abstract = {Phosphorus (P) has 23 isotopes from 24P to 46P, only one of these isotopes, 31Pis stable; such as this element is considered as a monoisotopic element. The longest-lived radioactive isotopes are 33P with a half-life of 25.34 days and the least stable is 25P with a half-life shorter than 30ns. Almost all of them are high energy beta-emitters which have valuable applications in medicine, industry, and tracer studies. Calculations of energy level properties of the Phosphor isotopic chain with A = 31 (N=15) to 35 (N=20) calculated through shell model calculations using the shell model code OXBASH for Windows. A compilation of sd-shell energy levels calculated with the USD Hamiltonian has been published around 1988.A comparison had been made between our results and the available experimental data and USD energies to test theoretical shell model description of nuclear structure in Phosphor nuclei. The calculated energy spectrum is in good agreement with the available experimental data.},
     year = {2015}
    }
    

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    N1  - https://doi.org/10.11648/j.ajmp.s.2015040301.14
    DO  - 10.11648/j.ajmp.s.2015040301.14
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
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    UR  - https://doi.org/10.11648/j.ajmp.s.2015040301.14
    AB  - Phosphorus (P) has 23 isotopes from 24P to 46P, only one of these isotopes, 31Pis stable; such as this element is considered as a monoisotopic element. The longest-lived radioactive isotopes are 33P with a half-life of 25.34 days and the least stable is 25P with a half-life shorter than 30ns. Almost all of them are high energy beta-emitters which have valuable applications in medicine, industry, and tracer studies. Calculations of energy level properties of the Phosphor isotopic chain with A = 31 (N=15) to 35 (N=20) calculated through shell model calculations using the shell model code OXBASH for Windows. A compilation of sd-shell energy levels calculated with the USD Hamiltonian has been published around 1988.A comparison had been made between our results and the available experimental data and USD energies to test theoretical shell model description of nuclear structure in Phosphor nuclei. The calculated energy spectrum is in good agreement with the available experimental data.
    VL  - 4
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Author Information
  • Department of Physics, Payame Noor University, Tehran, Iran

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

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