https://doi.org/10.1140/epjp/s13360-024-05784-x
Regular Article
Effect of strong magnetic field on thermodynamic properties of quarkonia: NUFA method
Central University of Jharkhand, 835222, Ranchi, India
Received:
7
August
2024
Accepted:
29
October
2024
Published online:
15
November
2024
In this manuscript, Hellmann-plus-Screened-Kratzer (HSK) potential is adopted as the heavy quark interaction potential for studying the thermodynamic properties of 1 S and 2 S states of heavy quarkonium (charmonium and bottomonium) using the Nikiforov-Uvarov functional analysis (NUFA) method. Initially, using this HSK potential, we have solved the Schrodinger equation in the presence of magnetic field-dependent quasi-particle Debye mass to get energy eigenvalue. Further, we have determined the partition function and the thermodynamic properties of quarkonia using energy eigenvalue. It is noted that as the magnetic field increases, the initial binding energy values are lower, although the general trend of decreasing binding energy with temperature remains consistent. The behavior of quarkonium states under extreme conditions sheds light on the impact of a strong magnetic field on their thermodynamic characteristics.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
