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

Adel Khalaf Hamoudi; Thuraya Amer AbdulHussein

doi:doi:10.11648/j.ajpa.20170503.11

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

Adel Khalaf Hamoudi, Thuraya Amer AbdulHussein

Published in American Journal of Physics and Applications (Volume 5, Issue 3)

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 1d_5/2, 2s_1/2 and 1d_3/2 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

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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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TY  - JOUR
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

Adel Khalaf Hamoudi

Department of Physics, College of Science, University of Baghdad, Baghdad, Iraq
Thuraya Amer AbdulHussein

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

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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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
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  -

Copy | Download