Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-Dimensional Space
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 pres...
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Wiley
2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7356843 |
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| author | M. Abu-Shady T. A. Abdel-Karim E. M. Khokha |
| author_facet | M. Abu-Shady T. A. Abdel-Karim E. M. Khokha |
| author_sort | M. Abu-Shady |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-40bc600f3a974fe2be3023a8fb092075 |
| institution | DOAJ |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-40bc600f3a974fe2be3023a8fb0920752025-08-20T02:39:13ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/73568437356843Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-Dimensional SpaceM. Abu-Shady0T. A. Abdel-Karim1E. M. Khokha2Department of Applied Mathematics, Faculty of Science, Menoufia University, Shibin El Kom, EgyptDepartment of Applied Mathematics, Faculty of Science, Menoufia University, Shibin El Kom, EgyptDepartment of Basic Science, Modern Academy of Engineering and Technology, Cairo, EgyptThe 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.http://dx.doi.org/10.1155/2018/7356843 |
| spellingShingle | M. Abu-Shady T. A. Abdel-Karim E. M. Khokha Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-Dimensional Space Advances in High Energy Physics |
| title | Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-Dimensional Space |
| title_full | Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-Dimensional Space |
| title_fullStr | Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-Dimensional Space |
| title_full_unstemmed | Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-Dimensional Space |
| title_short | Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-Dimensional Space |
| title_sort | binding energies and dissociation temperatures of heavy quarkonia at finite temperature and chemical potential in the n dimensional space |
| url | http://dx.doi.org/10.1155/2018/7356843 |
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