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Spectral Fluctuations in A=32 Nuclei Using the Framework of the Nuclear Shell Model

Received: 16 April 2017     Accepted: 2 May 2017     Published: 26 June 2017
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Abstract

Chaotic properties of nuclear energy spectra in A=32 nuclei are investigated via the framework of the nuclear shell model. The energies (the main object of this investigation) are calculated through accomplishing shell model calculations employing the OXBASH computer code with the realistic effective interaction of W in the isospin formalism. The A=32 nuclei are supposed to have an inert 16O core with 16 nucleons move in the 1d5/2, 2s1/2 and 1d3/2 orbitals. For full hamiltonian calculations, the spectral fluctuations (i.e., the nearest neighbor level spacing distributions P(S) and the Δ3 statistics) are well characterized by the Gaussian orthogonal ensemble of random matrices. Besides, they show no dependency on the spin J and isospin T. For unperturbed hamiltonian calculations, we find a regular behavior for the distribution of P(S) and an intermediate behavior between the GOE and the Poisson limits for the Δ3 statistics.

Published in American Journal of Physics and Applications (Volume 5, Issue 3)
DOI 10.11648/j.ajpa.20170503.11
Page(s) 35-40
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), 2017. Published by Science Publishing Group

Keywords

Quantum Chaos, Random Matrix Theory, Spectral Fluctuations, Shell Model Calculations

References
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  • APA Style

    Adel Khalaf Hamoudi, Thuraya Amer AbdulHussein. (2017). Spectral Fluctuations in A=32 Nuclei Using the Framework of the Nuclear Shell Model. American Journal of Physics and Applications, 5(3), 35-40. https://doi.org/10.11648/j.ajpa.20170503.11

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    ACS Style

    Adel Khalaf Hamoudi; Thuraya Amer AbdulHussein. Spectral Fluctuations in A=32 Nuclei Using the Framework of the Nuclear Shell Model. Am. J. Phys. Appl. 2017, 5(3), 35-40. doi: 10.11648/j.ajpa.20170503.11

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    AMA Style

    Adel Khalaf Hamoudi, Thuraya Amer AbdulHussein. Spectral Fluctuations in A=32 Nuclei Using the Framework of the Nuclear Shell Model. Am J Phys Appl. 2017;5(3):35-40. doi: 10.11648/j.ajpa.20170503.11

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  • @article{10.11648/j.ajpa.20170503.11,
      author = {Adel Khalaf Hamoudi and Thuraya Amer AbdulHussein},
      title = {Spectral Fluctuations in A=32 Nuclei Using the Framework of the Nuclear Shell Model},
      journal = {American Journal of Physics and Applications},
      volume = {5},
      number = {3},
      pages = {35-40},
      doi = {10.11648/j.ajpa.20170503.11},
      url = {https://doi.org/10.11648/j.ajpa.20170503.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20170503.11},
      abstract = {Chaotic properties of nuclear energy spectra in A=32 nuclei are investigated via the framework of the nuclear shell model. The energies (the main object of this investigation) are calculated through accomplishing shell model calculations employing the OXBASH computer code with the realistic effective interaction of W in the isospin formalism. The A=32 nuclei are supposed to have an inert 16O core with 16 nucleons move in the 1d5/2, 2s1/2 and 1d3/2 orbitals. For full hamiltonian calculations, the spectral fluctuations (i.e., the nearest neighbor level spacing distributions P(S) and the Δ3 statistics) are well characterized by the Gaussian orthogonal ensemble of random matrices. Besides, they show no dependency on the spin J and isospin T. For unperturbed hamiltonian calculations, we find a regular behavior for the distribution of P(S) and an intermediate behavior between the GOE and the Poisson limits for the Δ3 statistics.},
     year = {2017}
    }
    

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    T1  - Spectral Fluctuations in A=32 Nuclei Using the Framework of the Nuclear Shell Model
    AU  - Adel Khalaf Hamoudi
    AU  - Thuraya Amer AbdulHussein
    Y1  - 2017/06/26
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ajpa.20170503.11
    DO  - 10.11648/j.ajpa.20170503.11
    T2  - American Journal of Physics and Applications
    JF  - American Journal of Physics and Applications
    JO  - American Journal of Physics and Applications
    SP  - 35
    EP  - 40
    PB  - Science Publishing Group
    SN  - 2330-4308
    UR  - https://doi.org/10.11648/j.ajpa.20170503.11
    AB  - Chaotic properties of nuclear energy spectra in A=32 nuclei are investigated via the framework of the nuclear shell model. The energies (the main object of this investigation) are calculated through accomplishing shell model calculations employing the OXBASH computer code with the realistic effective interaction of W in the isospin formalism. The A=32 nuclei are supposed to have an inert 16O core with 16 nucleons move in the 1d5/2, 2s1/2 and 1d3/2 orbitals. For full hamiltonian calculations, the spectral fluctuations (i.e., the nearest neighbor level spacing distributions P(S) and the Δ3 statistics) are well characterized by the Gaussian orthogonal ensemble of random matrices. Besides, they show no dependency on the spin J and isospin T. For unperturbed hamiltonian calculations, we find a regular behavior for the distribution of P(S) and an intermediate behavior between the GOE and the Poisson limits for the Δ3 statistics.
    VL  - 5
    IS  - 3
    ER  - 

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Author Information
  • Department of Physics, College of Science, University of Baghdad, Baghdad, Iraq

  • Department of Physics, College of Science, University of Baghdad, Baghdad, Iraq

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