The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics

A. Abdel-Hafiez

doi:doi:10.11648/j.ajmp.20150404.16

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The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics

A. Abdel-Hafiez

Received: 9 June 2015 Accepted: 26 June 2015 Published: 7 July 2015

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Abstract

An algebraic model depends upon the group theory emphasizes the coherent behavior of all of the nucleons. Among the kinds of collective motion that can occur in nuclei are rotations or vibrations that involve the entire nucleus. In this respect, the nuclear properties can be analyzed using the same description that is used to analyze the properties of a charged drop of liquid suspended in space. The algebraic collective model can thus be viewed as an extension of the liquid drop model, the algebraic collective model provides a good starting point for nuclear structure and then one could understand fission. For that purpose I have discussed and calculated some characteristics as the energy per particle, charge distribution, energy spectra for nuclei. Also, the collective potential-energy as a function of the internuclear distance and the potential as a function of the control parameter could be explained successfully as well.

DOI	10.11648/j.ajmp.20150404.16
Published in	American Journal of Modern Physics (Volume 4, Issue 4, July 2015)
Page(s)	196-202
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

Group Theory, Algebraic Collective Model, Nuclear Structure

References

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[12]	J. Cizek and J. Paldus, Int. J. Quant. Chem., XII, 875 (1977).
[13]	T.H. Cooke and J.L. Wood, Am. J. Phys. 70, 945 (2002).
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APA Style

A. Abdel-Hafiez. (2015). The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics. American Journal of Modern Physics, 4(4), 196-202. https://doi.org/10.11648/j.ajmp.20150404.16

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ACS Style

A. Abdel-Hafiez. The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics. Am. J. Mod. Phys. 2015, 4(4), 196-202. doi: 10.11648/j.ajmp.20150404.16

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AMA Style

A. Abdel-Hafiez. The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics. Am J Mod Phys. 2015;4(4):196-202. doi: 10.11648/j.ajmp.20150404.16

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@article{10.11648/j.ajmp.20150404.16,
  author = {A. Abdel-Hafiez},
  title = {The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {4},
  pages = {196-202},
  doi = {10.11648/j.ajmp.20150404.16},
  url = {https://doi.org/10.11648/j.ajmp.20150404.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150404.16},
  abstract = {An algebraic model depends upon the group theory emphasizes the coherent behavior of all of the nucleons. Among the kinds of collective motion that can occur in nuclei are rotations or vibrations that involve the entire nucleus. In this respect, the nuclear properties can be analyzed using the same description that is used to analyze the properties of a charged drop of liquid suspended in space. The algebraic collective model can thus be viewed as an extension of the liquid drop model, the algebraic collective model provides a good starting point for nuclear structure and then one could understand fission. For that purpose I have discussed and calculated some characteristics as the energy per particle, charge distribution, energy spectra for nuclei. Also, the collective potential-energy as a function of the internuclear distance and the potential as a function of the control parameter could be explained successfully as well.},
 year = {2015}
}

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TY  - JOUR
T1  - The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics
AU  - A. Abdel-Hafiez
Y1  - 2015/07/07
PY  - 2015
N1  - https://doi.org/10.11648/j.ajmp.20150404.16
DO  - 10.11648/j.ajmp.20150404.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 196
EP  - 202
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20150404.16
AB  - An algebraic model depends upon the group theory emphasizes the coherent behavior of all of the nucleons. Among the kinds of collective motion that can occur in nuclei are rotations or vibrations that involve the entire nucleus. In this respect, the nuclear properties can be analyzed using the same description that is used to analyze the properties of a charged drop of liquid suspended in space. The algebraic collective model can thus be viewed as an extension of the liquid drop model, the algebraic collective model provides a good starting point for nuclear structure and then one could understand fission. For that purpose I have discussed and calculated some characteristics as the energy per particle, charge distribution, energy spectra for nuclei. Also, the collective potential-energy as a function of the internuclear distance and the potential as a function of the control parameter could be explained successfully as well.
VL  - 4
IS  - 4
ER  -

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Author Information

A. Abdel-Hafiez

Experimental Nuclear Physics Department, Nuclear Research Center, AEA, Cairo, Egypt

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APA Style

A. Abdel-Hafiez. (2015). The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics. American Journal of Modern Physics, 4(4), 196-202. https://doi.org/10.11648/j.ajmp.20150404.16

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ACS Style

A. Abdel-Hafiez. The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics. Am. J. Mod. Phys. 2015, 4(4), 196-202. doi: 10.11648/j.ajmp.20150404.16

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AMA Style

A. Abdel-Hafiez. The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics. Am J Mod Phys. 2015;4(4):196-202. doi: 10.11648/j.ajmp.20150404.16

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@article{10.11648/j.ajmp.20150404.16,
  author = {A. Abdel-Hafiez},
  title = {The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {4},
  pages = {196-202},
  doi = {10.11648/j.ajmp.20150404.16},
  url = {https://doi.org/10.11648/j.ajmp.20150404.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150404.16},
  abstract = {An algebraic model depends upon the group theory emphasizes the coherent behavior of all of the nucleons. Among the kinds of collective motion that can occur in nuclei are rotations or vibrations that involve the entire nucleus. In this respect, the nuclear properties can be analyzed using the same description that is used to analyze the properties of a charged drop of liquid suspended in space. The algebraic collective model can thus be viewed as an extension of the liquid drop model, the algebraic collective model provides a good starting point for nuclear structure and then one could understand fission. For that purpose I have discussed and calculated some characteristics as the energy per particle, charge distribution, energy spectra for nuclei. Also, the collective potential-energy as a function of the internuclear distance and the potential as a function of the control parameter could be explained successfully as well.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics
AU  - A. Abdel-Hafiez
Y1  - 2015/07/07
PY  - 2015
N1  - https://doi.org/10.11648/j.ajmp.20150404.16
DO  - 10.11648/j.ajmp.20150404.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 196
EP  - 202
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20150404.16
AB  - An algebraic model depends upon the group theory emphasizes the coherent behavior of all of the nucleons. Among the kinds of collective motion that can occur in nuclei are rotations or vibrations that involve the entire nucleus. In this respect, the nuclear properties can be analyzed using the same description that is used to analyze the properties of a charged drop of liquid suspended in space. The algebraic collective model can thus be viewed as an extension of the liquid drop model, the algebraic collective model provides a good starting point for nuclear structure and then one could understand fission. For that purpose I have discussed and calculated some characteristics as the energy per particle, charge distribution, energy spectra for nuclei. Also, the collective potential-energy as a function of the internuclear distance and the potential as a function of the control parameter could be explained successfully as well.
VL  - 4
IS  - 4
ER  -

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