Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential-Reference-Cited by-同舟云学术

Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential

Published:2022-09-02 Issue:3 Volume: Page:104-114
ISSN:2312-4334
Container-title:3
language:
Short-container-title:EEJP

Author:

Inyang Etido¹^ORCID,Obisung Effiong²,William Eddy³^ORCID,Okon Ituen⁴^ORCID

Affiliation:

1. Department of Physics, National Open University of Nigeria, Jabi-Abuja,Nigeria

2. Department of Physics, University of Calabar, PMB 1115, Calabar, Nigeria

3. Theoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar, Nigeria

4. Theoretical Physics Group, Department of Physics, University of Uyo, Nigeria

Abstract

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.

Publisher

V. N. Karazin Kharkiv National University

Subject

General Physics and Astronomy,General Materials Science

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