Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method

E. M. Khokha; M. Abu-Shady; T. A. Abdel-Karim

doi:doi:10.11648/j.ijtam.20160202.19

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Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method

E. M. Khokha, M. Abu-Shady, T. A. Abdel-Karim

Published in International Journal of Theoretical and Applied Mathematics (Volume 2, Issue 2)

Received: 25 October 2016 Accepted: 7 November 2016 Published: 10 December 2016

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Abstract

The N- dimensional radial Schrödinger equation with an extended Cornell potential is solved. The analytical exact iteration method (AEIM) is applied. The energy eigenvalues are calculated in the N –dimensional space. The charmonium meson, the bottomonium meson and the meson masses are calculated in the N-dimensional space. The special cases are obtained from the general case. The study of the effect of dimensionality number is studied. The mean value of the radius and the mean square velocity of charmonium meson, bottomonium meson, and meson are calculated. The present results are improved in comparison with other recent studies and are in good agreement with the experimental data. Therefore, the present method with the present potential gives successfully description of heavy quarkonium properties.

Published in	International Journal of Theoretical and Applied Mathematics (Volume 2, Issue 2)
DOI	10.11648/j.ijtam.20160202.19
Page(s)	86-92
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), 2016. Published by Science Publishing Group

Keywords

Schrödinger Equation, Cornell Potential, Analytical Exact Iteration Method

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APA Style

E. M. Khokha, M. Abu-Shady, T. A. Abdel-Karim. (2016). Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method. International Journal of Theoretical and Applied Mathematics, 2(2), 86-92. https://doi.org/10.11648/j.ijtam.20160202.19

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ACS Style

E. M. Khokha; M. Abu-Shady; T. A. Abdel-Karim. Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method. Int. J. Theor. Appl. Math. 2016, 2(2), 86-92. doi: 10.11648/j.ijtam.20160202.19

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AMA Style

E. M. Khokha, M. Abu-Shady, T. A. Abdel-Karim. Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method. Int J Theor Appl Math. 2016;2(2):86-92. doi: 10.11648/j.ijtam.20160202.19

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@article{10.11648/j.ijtam.20160202.19,
  author = {E. M. Khokha and M. Abu-Shady and T. A. Abdel-Karim},
  title = {Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {2},
  number = {2},
  pages = {86-92},
  doi = {10.11648/j.ijtam.20160202.19},
  url = {https://doi.org/10.11648/j.ijtam.20160202.19},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20160202.19},
  abstract = {The N- dimensional radial Schrödinger equation with an extended Cornell potential is solved. The analytical exact iteration method (AEIM) is applied. The energy eigenvalues are calculated in the N –dimensional space. The charmonium meson, the bottomonium meson and the  meson masses are calculated in the N-dimensional space. The special cases are obtained from the general case. The study of the effect of dimensionality number is studied. The mean value of the radius and the mean square velocity of charmonium meson, bottomonium meson, and  meson are calculated. The present results are improved in comparison with other recent studies and are in good agreement with the experimental data. Therefore, the present method with the present potential gives successfully description of heavy quarkonium properties.},
 year = {2016}
}

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TY  - JOUR
T1  - Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method
AU  - E. M. Khokha
AU  - M. Abu-Shady
AU  - T. A. Abdel-Karim
Y1  - 2016/12/10
PY  - 2016
N1  - https://doi.org/10.11648/j.ijtam.20160202.19
DO  - 10.11648/j.ijtam.20160202.19
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 86
EP  - 92
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20160202.19
AB  - The N- dimensional radial Schrödinger equation with an extended Cornell potential is solved. The analytical exact iteration method (AEIM) is applied. The energy eigenvalues are calculated in the N –dimensional space. The charmonium meson, the bottomonium meson and the  meson masses are calculated in the N-dimensional space. The special cases are obtained from the general case. The study of the effect of dimensionality number is studied. The mean value of the radius and the mean square velocity of charmonium meson, bottomonium meson, and  meson are calculated. The present results are improved in comparison with other recent studies and are in good agreement with the experimental data. Therefore, the present method with the present potential gives successfully description of heavy quarkonium properties.
VL  - 2
IS  - 2
ER  -

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Author Information

E. M. Khokha

Department of Basic Science, Modern Academy for Engineering and Technology, Cairo, Egypt
M. Abu-Shady

Department of Applied Mathematics, Faculty of Science, Menoufia University, Shebin El- Kom, Egypt
T. A. Abdel-Karim

Department of Applied Mathematics, Faculty of Science, Menoufia University, Shebin El- Kom, Egypt

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Plain Text BibTeX RIS

APA Style

E. M. Khokha, M. Abu-Shady, T. A. Abdel-Karim. (2016). Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method. International Journal of Theoretical and Applied Mathematics, 2(2), 86-92. https://doi.org/10.11648/j.ijtam.20160202.19

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ACS Style

E. M. Khokha; M. Abu-Shady; T. A. Abdel-Karim. Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method. Int. J. Theor. Appl. Math. 2016, 2(2), 86-92. doi: 10.11648/j.ijtam.20160202.19

Copy | Download

AMA Style

E. M. Khokha, M. Abu-Shady, T. A. Abdel-Karim. Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method. Int J Theor Appl Math. 2016;2(2):86-92. doi: 10.11648/j.ijtam.20160202.19

Copy | Download

@article{10.11648/j.ijtam.20160202.19,
  author = {E. M. Khokha and M. Abu-Shady and T. A. Abdel-Karim},
  title = {Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {2},
  number = {2},
  pages = {86-92},
  doi = {10.11648/j.ijtam.20160202.19},
  url = {https://doi.org/10.11648/j.ijtam.20160202.19},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20160202.19},
  abstract = {The N- dimensional radial Schrödinger equation with an extended Cornell potential is solved. The analytical exact iteration method (AEIM) is applied. The energy eigenvalues are calculated in the N –dimensional space. The charmonium meson, the bottomonium meson and the  meson masses are calculated in the N-dimensional space. The special cases are obtained from the general case. The study of the effect of dimensionality number is studied. The mean value of the radius and the mean square velocity of charmonium meson, bottomonium meson, and  meson are calculated. The present results are improved in comparison with other recent studies and are in good agreement with the experimental data. Therefore, the present method with the present potential gives successfully description of heavy quarkonium properties.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method
AU  - E. M. Khokha
AU  - M. Abu-Shady
AU  - T. A. Abdel-Karim
Y1  - 2016/12/10
PY  - 2016
N1  - https://doi.org/10.11648/j.ijtam.20160202.19
DO  - 10.11648/j.ijtam.20160202.19
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 86
EP  - 92
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20160202.19
AB  - The N- dimensional radial Schrödinger equation with an extended Cornell potential is solved. The analytical exact iteration method (AEIM) is applied. The energy eigenvalues are calculated in the N –dimensional space. The charmonium meson, the bottomonium meson and the  meson masses are calculated in the N-dimensional space. The special cases are obtained from the general case. The study of the effect of dimensionality number is studied. The mean value of the radius and the mean square velocity of charmonium meson, bottomonium meson, and  meson are calculated. The present results are improved in comparison with other recent studies and are in good agreement with the experimental data. Therefore, the present method with the present potential gives successfully description of heavy quarkonium properties.
VL  - 2
IS  - 2
ER  -

Copy | Download