Heavy quarkonium properties from Cornell potential using variational method and supersymmetric quantum mechanic

TL;DR

This paper employs variational and supersymmetric quantum mechanics methods to approximate eigenvalues and wave functions of the Cornell potential, comparing results with numerical solutions for heavy quarkonium systems.

Contribution

It introduces a combined variational and supersymmetric approach to analyze the Cornell potential for heavy quarkonia, providing approximate solutions and validation against numerical data.

Findings

Eigenvalues and wave functions approximated successfully.

Results agree well with numerical solutions.

Method offers a new analytical approximation technique.

Abstract

Using the variational method and supersymmetric quantum mechanic we calculate in a approximate way eigenvalues, eigenfunctions and wave functions at origin of Cornell potential. We compare results with numerical solutions for heavy quarkonia $c\bar{c}$, $b\bar{b}$ y $b\bar{c}$.