Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature
In this paper, we study the finite temperature-dependent Schrödinger equation by using the Nikiforov-Uvarov method. We consider the sum of the Cornell, inverse quadratic, and harmonic-type potentials as the potential part of the radial Schrödinger equation. Analytical expressions for the energy eige...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/1861946 |
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| author | A. I. Ahmadov K. H. Abasova M. Sh. Orucova |
| author_facet | A. I. Ahmadov K. H. Abasova M. Sh. Orucova |
| author_sort | A. I. Ahmadov |
| collection | DOAJ |
| description | In this paper, we study the finite temperature-dependent Schrödinger equation by using the Nikiforov-Uvarov method. We consider the sum of the Cornell, inverse quadratic, and harmonic-type potentials as the potential part of the radial Schrödinger equation. Analytical expressions for the energy eigenvalues and the radial wave function are presented. Application of the results for the heavy quarkonia and Bc meson masses are in good agreement with the current experimental data except for zero angular momentum quantum numbers. Numerical results for the temperature dependence indicates a different behaviour for different quantum numbers. Temperature-dependent results are in agreement with some QCD sum rule results from the ground states. |
| format | Article |
| id | doaj-art-0f9b8bfb1ecb4c5c97031a3e22bc7c85 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-0f9b8bfb1ecb4c5c97031a3e22bc7c852025-08-20T03:54:28ZengWileyAdvances in High Energy Physics1687-73571687-73652021-01-01202110.1155/2021/18619461861946Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite TemperatureA. I. Ahmadov0K. H. Abasova1M. Sh. Orucova2Department of Theoretical Physics, Baku State University, Z. Khalilov St. 23, AZ-1148 Baku, AzerbaijanDepartment of Theoretical Physics, Baku State University, Z. Khalilov St. 23, AZ-1148 Baku, AzerbaijanAzerbaijan State University of Economics, Istiglaliyyat St. 22, AZ1001 Baku, AzerbaijanIn this paper, we study the finite temperature-dependent Schrödinger equation by using the Nikiforov-Uvarov method. We consider the sum of the Cornell, inverse quadratic, and harmonic-type potentials as the potential part of the radial Schrödinger equation. Analytical expressions for the energy eigenvalues and the radial wave function are presented. Application of the results for the heavy quarkonia and Bc meson masses are in good agreement with the current experimental data except for zero angular momentum quantum numbers. Numerical results for the temperature dependence indicates a different behaviour for different quantum numbers. Temperature-dependent results are in agreement with some QCD sum rule results from the ground states.http://dx.doi.org/10.1155/2021/1861946 |
| spellingShingle | A. I. Ahmadov K. H. Abasova M. Sh. Orucova Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature Advances in High Energy Physics |
| title | Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature |
| title_full | Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature |
| title_fullStr | Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature |
| title_full_unstemmed | Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature |
| title_short | Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature |
| title_sort | bound state solution schrodinger equation for extended cornell potential at finite temperature |
| url | http://dx.doi.org/10.1155/2021/1861946 |
| work_keys_str_mv | AT aiahmadov boundstatesolutionschrodingerequationforextendedcornellpotentialatfinitetemperature AT khabasova boundstatesolutionschrodingerequationforextendedcornellpotentialatfinitetemperature AT mshorucova boundstatesolutionschrodingerequationforextendedcornellpotentialatfinitetemperature |