Heavy Quarkonia and </span><span><img width="27" height="43" src=" http://article.sciencepublishinggroup.com/journal/322/3220984/image001.gif" /></span><span>&nbsp;Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schr&ouml;dinger Equation

M. Abu-Shady

doi:doi:10.11648/j.ijamtp.20160202.11

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Heavy Quarkonia and Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation

M. Abu-Shady

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

Received: 15 July 2016 Accepted: 27 July 2016 Published: 30 August 2016

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Abstract

Heavy quarkonia, meson, and -meson masses are calculated within the framework of the N-dimensional radial Schrödinger equation. The Cornell potential is extended by including the harmonic oscillator potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The energy eigenvalues are obtained in the three-dimensional space. The mass of spectra of charmonium, bottomonium, , and mesons are calculated. The effect of dimensionality number on the mass of quarkonium is investigated. A comparison with other theoretical approaches is discussed. The obtained results are in good agreement with experimental data. We conclude that the dimensionality number plays an important role in studying the spectra of quarkonium masses. The modified Cornell potential provides a good description of the spectra of quarkonium masses.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 2, Issue 2)
DOI	10.11648/j.ijamtp.20160202.11
Page(s)	16-20
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

Heavy Quarkonia, Quarkonium States, Cornell Potential

References

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APA Style

M. Abu-Shady. (2016). Heavy Quarkonia and Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation. International Journal of Applied Mathematics and Theoretical Physics, 2(2), 16-20. https://doi.org/10.11648/j.ijamtp.20160202.11

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ACS Style

M. Abu-Shady. Heavy Quarkonia and Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation. Int. J. Appl. Math. Theor. Phys. 2016, 2(2), 16-20. doi: 10.11648/j.ijamtp.20160202.11

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AMA Style

M. Abu-Shady. Heavy Quarkonia and Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation. Int J Appl Math Theor Phys. 2016;2(2):16-20. doi: 10.11648/j.ijamtp.20160202.11

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@article{10.11648/j.ijamtp.20160202.11,
  author = {M. Abu-Shady},
  title = {Heavy Quarkonia and  Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {2},
  number = {2},
  pages = {16-20},
  doi = {10.11648/j.ijamtp.20160202.11},
  url = {https://doi.org/10.11648/j.ijamtp.20160202.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20160202.11},
  abstract = {Heavy quarkonia,  meson, and  -meson masses are calculated within the framework of the N-dimensional radial Schrödinger equation. The Cornell potential is extended by including the harmonic oscillator potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The energy eigenvalues are obtained in the three-dimensional space. The mass of spectra of charmonium, bottomonium, , and  mesons are calculated. The effect of dimensionality number on the mass of quarkonium is investigated. A comparison with other theoretical approaches is discussed. The obtained results are in good agreement with experimental data. We conclude that the dimensionality number plays an important role in studying the spectra of quarkonium masses. The modified Cornell potential provides a good description of the spectra of quarkonium masses.},
 year = {2016}
}

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TY - JOUR
T1 - Heavy Quarkonia and Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation
AU - M. Abu-Shady
Y1 - 2016/08/30
PY - 2016
N1 - https://doi.org/10.11648/j.ijamtp.20160202.11
DO - 10.11648/j.ijamtp.20160202.11
T2 - International Journal of Applied Mathematics and Theoretical Physics
JF - International Journal of Applied Mathematics and Theoretical Physics
JO - International Journal of Applied Mathematics and Theoretical Physics
SP - 16
EP - 20
PB - Science Publishing Group
SN - 2575-5927
UR - https://doi.org/10.11648/j.ijamtp.20160202.11
AB - Heavy quarkonia, meson, and -meson masses are calculated within the framework of the N-dimensional radial Schrödinger equation. The Cornell potential is extended by including the harmonic oscillator potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The energy eigenvalues are obtained in the three-dimensional space. The mass of spectra of charmonium, bottomonium, , and mesons are calculated. The effect of dimensionality number on the mass of quarkonium is investigated. A comparison with other theoretical approaches is discussed. The obtained results are in good agreement with experimental data. We conclude that the dimensionality number plays an important role in studying the spectra of quarkonium masses. The modified Cornell potential provides a good description of the spectra of quarkonium masses.
VL - 2
IS - 2
ER -

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Author Information

M. Abu-Shady

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

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APA Style

M. Abu-Shady. (2016). Heavy Quarkonia and Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation. International Journal of Applied Mathematics and Theoretical Physics, 2(2), 16-20. https://doi.org/10.11648/j.ijamtp.20160202.11

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ACS Style

M. Abu-Shady. Heavy Quarkonia and Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation. Int. J. Appl. Math. Theor. Phys. 2016, 2(2), 16-20. doi: 10.11648/j.ijamtp.20160202.11

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AMA Style

M. Abu-Shady. Heavy Quarkonia and Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation. Int J Appl Math Theor Phys. 2016;2(2):16-20. doi: 10.11648/j.ijamtp.20160202.11

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@article{10.11648/j.ijamtp.20160202.11,
  author = {M. Abu-Shady},
  title = {Heavy Quarkonia and  Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrödinger Equation},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {2},
  number = {2},
  pages = {16-20},
  doi = {10.11648/j.ijamtp.20160202.11},
  url = {https://doi.org/10.11648/j.ijamtp.20160202.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20160202.11},
  abstract = {Heavy quarkonia,  meson, and  -meson masses are calculated within the framework of the N-dimensional radial Schrödinger equation. The Cornell potential is extended by including the harmonic oscillator potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The energy eigenvalues are obtained in the three-dimensional space. The mass of spectra of charmonium, bottomonium, , and  mesons are calculated. The effect of dimensionality number on the mass of quarkonium is investigated. A comparison with other theoretical approaches is discussed. The obtained results are in good agreement with experimental data. We conclude that the dimensionality number plays an important role in studying the spectra of quarkonium masses. The modified Cornell potential provides a good description of the spectra of quarkonium masses.},
 year = {2016}
}

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