Meson Spectra using Nikiforov-Uvarov Method

TL;DR

This paper applies the Nikiforov-Uvarov method to solve the nonrelativistic Schrödinger equation with phenomenological potentials for quarkonium systems, achieving results consistent with experimental data.

Contribution

It introduces the use of the Nikiforov-Uvarov method for calculating meson spectra with various potentials, providing a new analytical approach in this context.

Findings

Eigenvalues closely match experimental data

Eigenfunctions obtained for different potentials

Method proves effective for quarkonium spectroscopy

Abstract

There are many phenomenological potentials using different techniques to describe the spectroscopy of the quarkonium systems like charmonium, bottomonium, Bc meson systems. In the present work, we choose a phenomenological potential (linear, Yukawa, and harmonic potentials) in the framework of the nonrelativistic Schrodinger equation with relativistic corrections using the Nikiforov-Uvarov (NU) method. We obtained the eigenfunction and eigenvalue comparing the results with the available experimental data. The results are in good agreement with the available experimental data.