Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential
In this present study, we model Eckart-Hellmann Potential (EHP) to interact in a quark-antiquark system. The solutions of the Schrödinger equation are obtained with EHP using the Nikiforov-Uvarov method. The energy equation and normalized wave function were obtained. The masses of the heavy mesons s...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
V.N. Karazin Kharkiv National University Publishing
2022-09-01
|
| Series: | East European Journal of Physics |
| Subjects: | |
| Online Access: | https://periodicals.karazin.ua/eejp/article/view/18823 |
| _version_ | 1797838933493547008 |
|---|---|
| author | Etido Inyang Effiong Obisung Eddy William Ituen Okon |
| author_facet | Etido Inyang Effiong Obisung Eddy William Ituen Okon |
| author_sort | Etido Inyang |
| collection | DOAJ |
| description | In this present study, we model Eckart-Hellmann Potential (EHP) to interact in a quark-antiquark system. The solutions of the Schrödinger equation are obtained with EHP using the Nikiforov-Uvarov method. The energy equation and normalized wave function were obtained. The masses of the heavy mesons such as charmonium (cc-) and bottomonium (bb-) for different quantum numbers were predicted using the energy equation. Also, the partition function was calculated from the energy equation, thereafter other thermal properties such as mean energy, free energy, entropy, and specific heat capacity were obtained. The results obtained showed an improvement when compared with the work of other researchers and excellently agreed with experimental data. |
| first_indexed | 2024-04-09T15:50:07Z |
| format | Article |
| id | doaj.art-bf9a50b87d7f4782a5157bd8803670a4 |
| institution | Directory Open Access Journal |
| issn | 2312-4334 2312-4539 |
| language | English |
| last_indexed | 2024-04-09T15:50:07Z |
| publishDate | 2022-09-01 |
| publisher | V.N. Karazin Kharkiv National University Publishing |
| record_format | Article |
| series | East European Journal of Physics |
| spelling | doaj.art-bf9a50b87d7f4782a5157bd8803670a42023-04-26T11:52:16ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392022-09-01310411410.26565/2312-4334-2022-3-1418823Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann PotentialEtido Inyang0Effiong Obisung1Eddy William2Ituen Okon3Department of Physics, National Open University of Nigeria, Jabi-Abuja,NigeriaDepartment of Physics, University of Calabar, PMB 1115, Calabar, NigeriaTheoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar, NigeriaTheoretical Physics Group, Department of Physics, University of Uyo, NigeriaIn this present study, we model Eckart-Hellmann Potential (EHP) to interact in a quark-antiquark system. The solutions of the Schrödinger equation are obtained with EHP using the Nikiforov-Uvarov method. The energy equation and normalized wave function were obtained. The masses of the heavy mesons such as charmonium (cc-) and bottomonium (bb-) for different quantum numbers were predicted using the energy equation. Also, the partition function was calculated from the energy equation, thereafter other thermal properties such as mean energy, free energy, entropy, and specific heat capacity were obtained. The results obtained showed an improvement when compared with the work of other researchers and excellently agreed with experimental data.https://periodicals.karazin.ua/eejp/article/view/18823schrödinger equationnikiforov-uvarov methodeckart-hellmann potentialheavy mesonsthermal properties |
| spellingShingle | Etido Inyang Effiong Obisung Eddy William Ituen Okon Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential East European Journal of Physics schrödinger equation nikiforov-uvarov method eckart-hellmann potential heavy mesons thermal properties |
| title | Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential |
| title_full | Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential |
| title_fullStr | Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential |
| title_full_unstemmed | Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential |
| title_short | Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential |
| title_sort | non relativistic study of mass spectra and thermal properties of a quarkonium system with eckart hellmann potential |
| topic | schrödinger equation nikiforov-uvarov method eckart-hellmann potential heavy mesons thermal properties |
| url | https://periodicals.karazin.ua/eejp/article/view/18823 |
| work_keys_str_mv | AT etidoinyang nonrelativisticstudyofmassspectraandthermalpropertiesofaquarkoniumsystemwitheckarthellmannpotential AT effiongobisung nonrelativisticstudyofmassspectraandthermalpropertiesofaquarkoniumsystemwitheckarthellmannpotential AT eddywilliam nonrelativisticstudyofmassspectraandthermalpropertiesofaquarkoniumsystemwitheckarthellmannpotential AT ituenokon nonrelativisticstudyofmassspectraandthermalpropertiesofaquarkoniumsystemwitheckarthellmannpotential |