Properties of Low-Lying Charmonium States in a Phenomenological Approach

TL;DR

This paper models low-lying charmonium states using a non-relativistic quark model with various potentials, predicting their spectrum and decay rates with results aligning well with experimental data.

Contribution

It introduces a combined potential approach including instanton effects to improve predictions of charmonium properties.

Findings

Predicted masses agree with experimental values

Decay rates match observed data

Hyperfine splitting is accurately modeled

Abstract

We investigate the spectrum and decay rates of low lying charmonium states within the framework of the non relativistic quark model by employing a Coulomb like potential from the perturbative one gluon exchange and the linear confining potential along with the potential derived from instanton vacuum to account for the hyperfine mass splitting of charmonium states in variational approach. We predict radiative E1, M1, two-photon, leptonic and two-gluon decay rates of low lying charmonium states. An overall agreement is obtained with the experimental masses and decay widths.