Isospectral Potentials and Quarkonia Low Energy Spectra: A Possibility of simultaneous fit to Masses and leptonic decay widths"

TL;DR

This paper explores isospectral potentials to simultaneously fit quarkonium masses and decay widths, offering a novel approach to modeling heavy quark-antiquark systems with promising preliminary results.

Contribution

It introduces a method using isospectral potentials for a combined fit of quarkonium masses and decay widths, advancing potential models in heavy quark physics.

Findings

Isospectral potentials can fit quarkonium data effectively.

Preliminary results show promising agreement with experimental data.

The approach relates to 'Wrinkled potentials' in theoretical modeling.

Abstract

Some of the non-relativistic QQ/bar interaction potentials and its isospectral partner-potentials have been employed to evaluate the masses and leptonic decay widths of Charmonium and Upsilon states. An attempt has been made to develop a prescription to provide a simultaneous fit to Masses and leptonic decay widths of Quarkonia. Preliminary calculation shows that the class of isospectral-potentials corresponding to: V(r)= -(alphas/r)+ar^n appears to yield the desired results. The various associated theoretical and phenomenological issues are discussed in light of recent data. The possible relation with the 'Wrinkled potentials' is also discussed.