Masses and thermal properties of a Charmonium and Bottomonium Mesons

Authors

  • E. P. Inyang Department of Physics, National Open University of Nigeria, Jabi, Abuja, Nigeria https://orcid.org/0000-0002-5031-3297
  • E. O. Obisung Department of Physics, University of Calabar, PMB 1115, Calabar, Nigeria
  • P. C. Iwuji Department of Physics, University of Calabar, PMB 1115, Calabar, Nigeria
  • J. E. Ntibi Theoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar, Nigeria
  • J. Amajama Department of Physics, University of Calabar, PMB 1115, Calabar, Nigeria
  • E. S. William Theoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar, Nigeria

Keywords:

Schrödinger equation, Nikiforov-Uvarov method, heavy mesons, Thermal properties

Abstract

In this research, we model Hulthén plus generalized inverse quadratic Yukawa potential to interact in a quark-antiquark system. The solutions of the Schrödinger equation are obtained using the Nikiforov-Uvarov method. The energy spectrum and normalized wave function were obtained. The masses of the heavy mesons for different quantum states such as 1S, 2S , 1P, 2P 3S, 4S, 1D, and 2D were predicted as 3.096 GeV, 3.686 GeV, 3.327 GeV, 3.774GeV, 4.040 GeV, 4.364GeV, 3.761 GeV, and 4.058 GeV respectively for charmonium (cc). Also, for bottomonium (bb) we obtained 9.460 GeV, 10.023 GeV, 9.841 GeV, 10.160 GeV, 10.345 GeV, 10.522 GeV, and 10.142GeV for different states of 1S , 2S , 1P , 2P , 3S , 4S , 1D respectively. The partition function was calculated from the energy spectrum, thereafter other thermal properties were obtained. The results obtained showed an improvement when compared with the work of other researchers and excellently agreed with experimental data with a percentage error of 1.60 % and 0.46 % for (cc) and (bb), respectively.

Author Biography

J. Amajama, Department of Physics, University of Calabar, PMB 1115, Calabar, Nigeria

Department of Physics

Dimensions

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Published

2022-08-19

How to Cite

Masses and thermal properties of a Charmonium and Bottomonium Mesons. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 884. https://doi.org/10.46481/jnsps.2022.884

Issue

Volume 4, Issue 3, August 2022

Section

Special Issue : "Recent Advances in Applications of Potential Models ... "
Copyright & Licensing

Copyright (c) 2022 E. P. Inyang, E. O. Obisung, P. C. Iwuji, J. E. Ntibi, J. Amajama, E. S. William

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Masses and thermal properties of a Charmonium and Bottomonium Mesons. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 884. https://doi.org/10.46481/jnsps.2022.884