Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method
International Journal of Theoretical and Applied Mathematics
Volume 2, Issue 2, December 2016, Pages: 86-92
Received: Oct. 25, 2016; Accepted: Nov. 7, 2016; Published: Dec. 10, 2016
Views 2401      Downloads 65
Authors
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
Article Tools
Follow on us
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.
Keywords
Schrödinger Equation, Cornell Potential, Analytical Exact Iteration Method
To cite this article
E. M. Khokha, M. Abu-Shady, T. A. Abdel-Karim, Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method, International Journal of Theoretical and Applied Mathematics. Vol. 2, No. 2, 2016, pp. 86-92. doi: 10.11648/j.ijtam.20160202.19
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186