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
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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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- 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.
Schrödinger Equation, Cornell Potential, Analytical Exact Iteration Method
To cite this article
E. M. Khokha,
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.
Copyright © 2016 Authors retain the copyright of this article.
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