Masses and Thermodynamic Quantities of Quarkonia in Nonrelativistic Quark Model

TL;DR

This study calculates the temperature-dependent properties of charmonium and bottomonium using a nonrelativistic quark model, solving the Schrödinger equation with an extended Cornell potential, and finds that quarkonia masses decrease at high temperatures.

Contribution

It introduces a method to compute thermodynamic quantities of quarkonia at finite temperature using the Nikiforov-Uvarov approach within a nonrelativistic framework.

Findings

Quarkonia masses decrease at high temperatures.

Results agree with experimental and previous theoretical data.

Thermodynamic quantities are successfully calculated at finite temperature.

Abstract

The temperature dependent energy, mass and some of thermodynamic quantities of charmonium and bottomonium have been calculated by solving the radial Schr{\"{o}}dinger equation with the extended Cornell potential at finite temperature using the Nikiforov-Uvarov method. Obtained results accord with experimental data and theoretical results of the previous studies. We have found the spectrum of quarkonia mass strictly decreases at high values of temperature.