Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei

N. A. Mansour; N. M. Eldebawi

doi:doi:10.11648/j.ijsts.20150303.15

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Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei

N. A. Mansour, N. M. Eldebawi

Published in International Journal of Science, Technology and Society (Volume 3, Issue 3)

Received: 30 April 2015 Accepted: 6 May 2015 Published: 16 May 2015

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Abstract

The ground state rotational band members for the studied nuclei have been identified and their energies calculated to about 0.3%. These energies provide good test of various models for rotational bands, and impressive agreement is observed with a theoretical calculations by the variable moment of inertia (VMI) model and cubic polynomial (CP) formula. In addition to giving an excellent fit to the excitation energy of the ground-band levels in all nuclei. Also reproduces a critical spin Ic beyond which the square rotational frequency ω2 decreases although the moment of inertia ℑ keeps on increasing, thus resulting in back bending in I -ω2 plot for some of the studied nuclei. This feature is predicted to appear not only in the deformed nuclei but also at quite low spins in nearly spherical nuclei as well. Also the formula contains the low and high spin behavior in agreement with the available experimental data.

Published in	International Journal of Science, Technology and Society (Volume 3, Issue 3)
DOI	10.11648/j.ijsts.20150303.15
Page(s)	96-100
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

Rotational Parameter, Moment of Inertia, Back-Bending

References

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APA Style

N. A. Mansour, N. M. Eldebawi. (2015). Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei. International Journal of Science, Technology and Society, 3(3), 96-100. https://doi.org/10.11648/j.ijsts.20150303.15

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ACS Style

N. A. Mansour; N. M. Eldebawi. Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei. Int. J. Sci. Technol. Soc. 2015, 3(3), 96-100. doi: 10.11648/j.ijsts.20150303.15

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AMA Style

N. A. Mansour, N. M. Eldebawi. Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei. Int J Sci Technol Soc. 2015;3(3):96-100. doi: 10.11648/j.ijsts.20150303.15

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@article{10.11648/j.ijsts.20150303.15,
  author = {N. A. Mansour and N. M. Eldebawi},
  title = {Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei},
  journal = {International Journal of Science, Technology and Society},
  volume = {3},
  number = {3},
  pages = {96-100},
  doi = {10.11648/j.ijsts.20150303.15},
  url = {https://doi.org/10.11648/j.ijsts.20150303.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsts.20150303.15},
  abstract = {The ground state rotational band members for the studied nuclei have been identified and their energies calculated to about 0.3%. These energies provide good test of various models for rotational bands, and impressive agreement is observed with a theoretical calculations by the variable moment of inertia (VMI) model and cubic polynomial (CP) formula. In addition to giving an excellent fit to the excitation energy of the ground-band levels in all nuclei. Also reproduces a critical spin Ic beyond which the square rotational frequency ω2 decreases although the moment of inertia ℑ keeps on increasing, thus resulting in back bending in I -ω2 plot for some of the studied nuclei. This feature is predicted to appear not only in the deformed nuclei but also at quite low spins in nearly spherical nuclei as well. Also the formula contains the low and high spin behavior in agreement with the available experimental data.},
 year = {2015}
}

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TY - JOUR
T1 - Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei
AU - N. A. Mansour
AU - N. M. Eldebawi
Y1 - 2015/05/16
PY - 2015
N1 - https://doi.org/10.11648/j.ijsts.20150303.15
DO - 10.11648/j.ijsts.20150303.15
T2 - International Journal of Science, Technology and Society
JF - International Journal of Science, Technology and Society
JO - International Journal of Science, Technology and Society
SP - 96
EP - 100
PB - Science Publishing Group
SN - 2330-7420
UR - https://doi.org/10.11648/j.ijsts.20150303.15
AB - The ground state rotational band members for the studied nuclei have been identified and their energies calculated to about 0.3%. These energies provide good test of various models for rotational bands, and impressive agreement is observed with a theoretical calculations by the variable moment of inertia (VMI) model and cubic polynomial (CP) formula. In addition to giving an excellent fit to the excitation energy of the ground-band levels in all nuclei. Also reproduces a critical spin Ic beyond which the square rotational frequency ω2 decreases although the moment of inertia ℑ keeps on increasing, thus resulting in back bending in I -ω2 plot for some of the studied nuclei. This feature is predicted to appear not only in the deformed nuclei but also at quite low spins in nearly spherical nuclei as well. Also the formula contains the low and high spin behavior in agreement with the available experimental data.
VL - 3
IS - 3
ER -

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Author Information

N. A. Mansour

Faculty of Science, Physics Department, Zagazig University, Zagazig, Egypt
N. M. Eldebawi

Faculty of Science, Physics Department, Zagazig University, Zagazig, Egypt

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APA Style

N. A. Mansour, N. M. Eldebawi. (2015). Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei. International Journal of Science, Technology and Society, 3(3), 96-100. https://doi.org/10.11648/j.ijsts.20150303.15

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ACS Style

N. A. Mansour; N. M. Eldebawi. Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei. Int. J. Sci. Technol. Soc. 2015, 3(3), 96-100. doi: 10.11648/j.ijsts.20150303.15

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AMA Style

N. A. Mansour, N. M. Eldebawi. Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei. Int J Sci Technol Soc. 2015;3(3):96-100. doi: 10.11648/j.ijsts.20150303.15

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@article{10.11648/j.ijsts.20150303.15,
  author = {N. A. Mansour and N. M. Eldebawi},
  title = {Study Shapes and Alignments of Rotational States in Some Rare-Earth Nuclei},
  journal = {International Journal of Science, Technology and Society},
  volume = {3},
  number = {3},
  pages = {96-100},
  doi = {10.11648/j.ijsts.20150303.15},
  url = {https://doi.org/10.11648/j.ijsts.20150303.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsts.20150303.15},
  abstract = {The ground state rotational band members for the studied nuclei have been identified and their energies calculated to about 0.3%. These energies provide good test of various models for rotational bands, and impressive agreement is observed with a theoretical calculations by the variable moment of inertia (VMI) model and cubic polynomial (CP) formula. In addition to giving an excellent fit to the excitation energy of the ground-band levels in all nuclei. Also reproduces a critical spin Ic beyond which the square rotational frequency ω2 decreases although the moment of inertia ℑ keeps on increasing, thus resulting in back bending in I -ω2 plot for some of the studied nuclei. This feature is predicted to appear not only in the deformed nuclei but also at quite low spins in nearly spherical nuclei as well. Also the formula contains the low and high spin behavior in agreement with the available experimental data.},
 year = {2015}
}

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