Masses and Thermodynamics Properties of Heavy Mesons in the Non-Relativistic Quark Model Using Nikiforov-Uvarov Method

TL;DR

This paper calculates the thermodynamic properties and mass spectra of heavy mesons using an extended potential in N-dimensional space with the Nikiforov-Uvarov method, showing good agreement with experimental data.

Contribution

It introduces an extended Cornell potential and applies the Nikiforov-Uvarov method to analyze heavy mesons in higher dimensions, improving upon previous models.

Findings

Mass spectra of charmonium, bottomonium, bc, and cs mesons are obtained.

Thermodynamic properties like energy, entropy, and specific heat are calculated.

Results align well with experimental data and other theoretical approaches.

Abstract

Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schrodinger equation. The Cornell potential is extended by including the quadratic potential plus the inverse of quadratic potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The obtained results are applied for calculating the mass of spectra of charmonium, bottomonium, bc, and cs mesons. The thermodynamics properties of heavy quarkonia such as, the mean energy, specific heat, free energy, and entropy are calculated. The effect of temperature and the dimensionality number on heavy mesons masses and thermodynamics properties is investigated. The obtained results are improved in comparison with other theoretical approaches and in a good agreement with experimental data. We conclude that the present potential well describes thermodynamic properties in the three-dimensional space and also the higher dimensional space.