Properties and Behaviors of Heavy Quarkonia: Insights through Fractional Model and Topological Defects
In this study, we investigated the impact of a topological defect (λ) on the properties of heavy quarkonia using the extended Cornell potential. We solved the fractional radial Schrödinger equation (SE) using the extended Nikiforov-Uvarov (ENU) method to obtain the eigenvalues of energy, which allow...
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Wiley
2024-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2024/2730568 |
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| author | M. Abu-shady H. M. Fath-Allah |
| author_facet | M. Abu-shady H. M. Fath-Allah |
| author_sort | M. Abu-shady |
| collection | DOAJ |
| description | In this study, we investigated the impact of a topological defect (λ) on the properties of heavy quarkonia using the extended Cornell potential. We solved the fractional radial Schrödinger equation (SE) using the extended Nikiforov-Uvarov (ENU) method to obtain the eigenvalues of energy, which allowed us to calculate the masses of charmonium and bottomonium. One significant observation was the splitting between nP and nD states, which attributed to the presence of the topological defect. We discovered that the excited states were divided into components corresponding to 2l+1, indicating that the gravity field induced by the topological defect interacts with energy levels like the Zeeman effect caused by a magnetic field. Additionally, we derived the wave function and calculated the root-mean radii for charmonium and bottomonium. A comparison with the classical models was performed, resulting in better results being obtained. Furthermore, we investigated the thermodynamic properties of charmonium and bottomonium, determining quantities such as energy, partition function, free energy, mean energy, specific heat, and entropy for P-states. The obtained results were found to be consistent with experimental data and previous works. In conclusion, the fractional model used in this work proved an essential role in understanding the various properties and behaviors of heavy quarkonia in the presence of topological defects. |
| format | Article |
| id | doaj-art-220d8991ea4c4e8d8a8a601e730b2770 |
| institution | Kabale University |
| issn | 1687-7365 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-220d8991ea4c4e8d8a8a601e730b27702025-02-03T01:31:53ZengWileyAdvances in High Energy Physics1687-73652024-01-01202410.1155/2024/2730568Properties and Behaviors of Heavy Quarkonia: Insights through Fractional Model and Topological DefectsM. Abu-shady0H. M. Fath-Allah1Department of Mathematics and Computer SciencesHigher Institute of Engineering and TechnologyIn this study, we investigated the impact of a topological defect (λ) on the properties of heavy quarkonia using the extended Cornell potential. We solved the fractional radial Schrödinger equation (SE) using the extended Nikiforov-Uvarov (ENU) method to obtain the eigenvalues of energy, which allowed us to calculate the masses of charmonium and bottomonium. One significant observation was the splitting between nP and nD states, which attributed to the presence of the topological defect. We discovered that the excited states were divided into components corresponding to 2l+1, indicating that the gravity field induced by the topological defect interacts with energy levels like the Zeeman effect caused by a magnetic field. Additionally, we derived the wave function and calculated the root-mean radii for charmonium and bottomonium. A comparison with the classical models was performed, resulting in better results being obtained. Furthermore, we investigated the thermodynamic properties of charmonium and bottomonium, determining quantities such as energy, partition function, free energy, mean energy, specific heat, and entropy for P-states. The obtained results were found to be consistent with experimental data and previous works. In conclusion, the fractional model used in this work proved an essential role in understanding the various properties and behaviors of heavy quarkonia in the presence of topological defects.http://dx.doi.org/10.1155/2024/2730568 |
| spellingShingle | M. Abu-shady H. M. Fath-Allah Properties and Behaviors of Heavy Quarkonia: Insights through Fractional Model and Topological Defects Advances in High Energy Physics |
| title | Properties and Behaviors of Heavy Quarkonia: Insights through Fractional Model and Topological Defects |
| title_full | Properties and Behaviors of Heavy Quarkonia: Insights through Fractional Model and Topological Defects |
| title_fullStr | Properties and Behaviors of Heavy Quarkonia: Insights through Fractional Model and Topological Defects |
| title_full_unstemmed | Properties and Behaviors of Heavy Quarkonia: Insights through Fractional Model and Topological Defects |
| title_short | Properties and Behaviors of Heavy Quarkonia: Insights through Fractional Model and Topological Defects |
| title_sort | properties and behaviors of heavy quarkonia insights through fractional model and topological defects |
| url | http://dx.doi.org/10.1155/2024/2730568 |
| work_keys_str_mv | AT mabushady propertiesandbehaviorsofheavyquarkoniainsightsthroughfractionalmodelandtopologicaldefects AT hmfathallah propertiesandbehaviorsofheavyquarkoniainsightsthroughfractionalmodelandtopologicaldefects |