# Trigonometric Rosen-Morse Potential as the Quark-Antiquark Interaction Potential for Meson Properties in the Non-Relativistic Quark Model Using EAIM

## TL;DR

This paper introduces the Trigonometric Rosen-Morse potential as a new model for quark-antiquark interactions, solving the N-dimensional Schrödinger equation analytically to study meson properties and thermodynamics, with results aligning well with experimental data.

## Contribution

It presents an exact analytical solution using EAIM for the N-dimensional Schrödinger equation with the Rosen-Morse potential, applied to meson mass and thermodynamic property calculations.

## Key findings

- Accurate meson mass predictions for heavy and heavy-light mesons.
- Thermodynamic properties calculated with good agreement to experimental data.
- Dimensional effects on meson masses are systematically studied.

## Abstract

Trigonometric Rosen-Morse potential is suggested as the quark-antiquark interaction potential for studying the thermodynamic properties and the masses of heavy and heavy-light mesons. For this purpose, N-radial Schrodinger equation is analytically solved using an exact analytical iteration method (EAIM). The eigenvalues of energy and corresponding wave functions are obtained in the N-dimensional space. The present results are applied for calculating the mass of heavy mesons such as charmonium, bottomonium, bc, and cs mesons and thermodynamic properties such as the mean-internal energy, the specific heat, the free energy, and the entropy. The effect of dimensional number is studied on the meson masses. A comparison is studied with other works and experimental data. The present potential provides satisfying results in comparison with other works and experimental data.

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Source: https://tomesphere.com/paper/1905.05689