Bound state of heavy quarks using a general polynomial potential

TL;DR

This paper calculates the mass spectra of heavy quark bound states using a polynomial potential and the Nikiforov-Uvarov method, achieving results that align well with experimental data.

Contribution

It introduces a novel application of the NU method to solve Schrödinger's equation with a polynomial potential for heavy quark systems.

Findings

Energy eigenvalues match experimental data well

Results outperform previous theoretical models

Applicable to various angular momentum states

Abstract

In the present work, the mass spectra of the bound states of heavy quarks b and c quarks and the Bc meson are studied within the frame work of non relativistic Schrodinger equation. First, we solve Schr\"odinger's equation with a general polynomial potential by Nikiforov-Uvarov (NU) method. The energy eigenvalues for any L- value is presented for a special case of the potential. The results obtained are in good agreement with the experimental data and are better than previous theoretical studies.