Spectra of Heavy Quarkonia in a Magnetized-Hot Medium in the Framework of Fractional Non-relativistic Quark Model

TL;DR

This paper develops an analytical framework using fractional nonrelativistic potential models to study heavy quarkonium spectra in hot magnetized media, revealing enhanced dissociation effects compared to classical models.

Contribution

It introduces a fractional potential approach with analytical solutions for quarkonium in magnetic fields, extending traditional models and analyzing dissociation temperatures.

Findings

Fractional model provides more practical dissociation predictions.

Magnetic field influences quarkonium binding energies.

Fractional parameter affects the decomposition temperature.

Abstract

In the fractional nonrelativistic potential model, the decomposition of heavy quarkonium in a hot magnetized medium is investigated. The analytical solution of the fractional radial Schrodinger equation for the hot-magnetized interaction potential is displayed by using the conformable fractional Nikiforov-Uvarov method. Analytical expressions for the energy eigenvalues and the radial wave function are obtained for arbitrary quantum numbers. Next, we study the charmonium and bottmonium binding energies for different magnetic field values in the thermal medium. The effect of the fractional parameter on the decomposition temperature is also analyzed for charmonium and bottomonium in the presence of hot magnetized media. We conclude that the dissociation of heavy quarkonium in the fractional nonrelativistic potential model is more practical than the classical nonrelativistic potential model.