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Advances in High Energy Physics
Volume 2018 (2018), Article ID 7356843, 12 pages
Research Article

Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the -Dimensional Space

1Department of Applied Mathematics, Faculty of Science, Menoufia University, Shibin El Kom, Egypt
2Department of Basic Science, Modern Academy of Engineering and Technology, Cairo, Egypt

Correspondence should be addressed to M. Abu-Shady

Received 23 July 2017; Accepted 29 November 2017; Published 8 January 2018

Academic Editor: Juan José Sanz-Cillero

Copyright © 2018 M. Abu-Shady et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


The N-dimensional radial Schrödinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been calculated in the N-dimensional space for any state. The present results have been applied for studying quarkonium properties such as charmonium and bottomonium masses at finite temperature and quark chemical potential. The binding energies and the mass spectra of heavy quarkonia are studied in the N-dimensional space. The dissociation temperatures for different states of heavy quarkonia are calculated in the three-dimensional space. The influence of dimensionality number (N) has been discussed on the dissociation temperatures. In addition, the energy eigenvalues are only valid for nonzero temperature at any value of quark chemical potential. A comparison is studied with other recent works. We conclude that the AEIM succeeds in predicting the heavy quarkonium at finite temperature and quark chemical potential in comparison with recent works.