Effect of strong magnetic field on thermodynamic properties of quarkonia: NUFA method

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.