Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential Model
In this work, the comparison of the mass spectra of heavy quarkonium system with an interacting potential (Class of Yukawa potential) was studied. The Schrodinger equation is analytically solved using Nikiforov- Uvarov (NU) method and series expansion method (SEM). The approximate solutions of the e...
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| Format: | Article |
| Language: | English |
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V.N. Karazin Kharkiv National University Publishing
2023-09-01
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| Series: | East European Journal of Physics |
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| Online Access: | https://periodicals.karazin.ua/eejp/article/view/21347 |
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| author | Joseph A. Obu Etido P. Inyang Eddy S. William Donatus E. Bassey Ephraim P. Inyang |
| author_facet | Joseph A. Obu Etido P. Inyang Eddy S. William Donatus E. Bassey Ephraim P. Inyang |
| author_sort | Joseph A. Obu |
| collection | DOAJ |
| description | In this work, the comparison of the mass spectra of heavy quarkonium system with an interacting potential (Class of Yukawa potential) was studied. The Schrodinger equation is analytically solved using Nikiforov- Uvarov (NU) method and series expansion method (SEM). The approximate solutions of the eigen energy equation and corresponding eigenfunction in terms of Laguerre polynomials were obtained using the NU method and the solutions of the eigen energy equation were also obtained with the SEM. The mass spectra for heavy quarkonium system (HQS) for the potential under study were obtained for bottomonium and charmonium HQS. We compared the results obtained between NU and SEM. It was noticed that SEM solutions yield mass spectra very close to experimental data compared to solutions with NU method. The obtained results were also compared with works by some other authors and were found to be improved. This study can be extended by using other exponential-type potential models with other analytical approach and a different approximation schemes to obtain the mass spectra of heavy quarkonium system. The relativistic properties using Klein-Gordon or Dirac equations can be explored to obtain the mass spectra of light quarkonia. Finally, the information entailed in the normalized wave-functions can also be studied. |
| first_indexed | 2024-03-12T01:39:30Z |
| format | Article |
| id | doaj.art-cc04bd18e69a4e6f801f01b54c9f0e94 |
| institution | Directory Open Access Journal |
| issn | 2312-4334 2312-4539 |
| language | English |
| last_indexed | 2024-03-12T01:39:30Z |
| publishDate | 2023-09-01 |
| publisher | V.N. Karazin Kharkiv National University Publishing |
| record_format | Article |
| series | East European Journal of Physics |
| spelling | doaj.art-cc04bd18e69a4e6f801f01b54c9f0e942023-09-10T16:51:58ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392023-09-01314615710.26565/2312-4334-2023-3-1121347Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential ModelJoseph A. Obu0Etido P. Inyang1Eddy S. William2Donatus E. Bassey3Ephraim P. Inyang4Theoretical Physics Group, Department of Physics, University of Calabar, Calabar, NigeriaDepartment of Physics, National Open University of Nigeria, Jabi, Abuja, NigeriaTheoretical Physics Group, Department of Physics, University of Calabar, Calabar, NigeriaDepartment of Physics, University of Calabar, Calabar, NigeriaTheoretical Physics Group, Department of Physics, University of Calabar, Calabar, NigeriaIn this work, the comparison of the mass spectra of heavy quarkonium system with an interacting potential (Class of Yukawa potential) was studied. The Schrodinger equation is analytically solved using Nikiforov- Uvarov (NU) method and series expansion method (SEM). The approximate solutions of the eigen energy equation and corresponding eigenfunction in terms of Laguerre polynomials were obtained using the NU method and the solutions of the eigen energy equation were also obtained with the SEM. The mass spectra for heavy quarkonium system (HQS) for the potential under study were obtained for bottomonium and charmonium HQS. We compared the results obtained between NU and SEM. It was noticed that SEM solutions yield mass spectra very close to experimental data compared to solutions with NU method. The obtained results were also compared with works by some other authors and were found to be improved. This study can be extended by using other exponential-type potential models with other analytical approach and a different approximation schemes to obtain the mass spectra of heavy quarkonium system. The relativistic properties using Klein-Gordon or Dirac equations can be explored to obtain the mass spectra of light quarkonia. Finally, the information entailed in the normalized wave-functions can also be studied.https://periodicals.karazin.ua/eejp/article/view/21347schrödinger equationnikiforov-uvarov methodclass of yukawa potentialmass spectraseries expansion method |
| spellingShingle | Joseph A. Obu Etido P. Inyang Eddy S. William Donatus E. Bassey Ephraim P. Inyang Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential Model East European Journal of Physics schrödinger equation nikiforov-uvarov method class of yukawa potential mass spectra series expansion method |
| title | Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential Model |
| title_full | Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential Model |
| title_fullStr | Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential Model |
| title_full_unstemmed | Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential Model |
| title_short | Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential Model |
| title_sort | comparative study of the mass spectra of heavy quarkonium system with an interacting potential model |
| topic | schrödinger equation nikiforov-uvarov method class of yukawa potential mass spectra series expansion method |
| url | https://periodicals.karazin.ua/eejp/article/view/21347 |
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