# Quarkonium Masses in a hot QCD Medium Using Conformable Fractional of the Nikiforov-Uvarov Method

## TL;DR

This paper analytically solves the radial Schrödinger equation using a conformable fractional Nikiforov-Uvarov method to study heavy-quarkonium masses in hot QCD media, revealing the significant impact of fractional order parameters.

## Contribution

It introduces a novel application of conformable fractional Nikiforov-Uvarov method to analyze quarkonium masses in hot QCD environments, considering higher-dimensional spaces.

## Key findings

- Fractional order parameter significantly affects quarkonium masses.
- Analytical solutions obtained for charmonium and bottomonium.
- Comparison with recent studies highlights the importance of fractional calculus.

## Abstract

By using conformable fractional of the Nikiforov-Uvarov (CF-NU) method, the radial Schrodinger equation is analytically solved. The energy eigenvalues and corresponding functions are obtained, in which the dependent temperature potential is employed. The effect of fraction-order parameter is studied on heavy-quarkonium masses such as charmonium and bottomonium in a hot QCD medium in the 3D and the higher dimensional space. A comparison is studied with recent works. We conclude that the fractional-order plays an important role in a hot QCD medium in the 3D and higher-dimensional space.