Radiative decays in charmonium beyond the p/m approximation

TL;DR

This paper improves the theoretical modeling of radiative decays in charmonium by using a complete electromagnetic transition operator within a quark potential model, surpassing the standard p/m approximation for more accurate decay width predictions.

Contribution

It introduces a comprehensive electromagnetic transition operator and demonstrates its effectiveness in accurately predicting charmonium radiative decay widths beyond the p/m approximation.

Findings

Accurate decay widths are achievable with the complete operator.

The complete operator outperforms the standard p/m approximation.

Proper implementation of experimental masses enhances results.

Abstract

We analyze the theoretical description of radiative decays in charmonium. We use an elementary emission decay model to build the most general electromagnetic transition operator. We show that accurate results for the widths can be obtained from a simple quark potential model reasonably fitting the spectroscopy if the complete form of the operator is used instead of its standard p/m approximation and the experimental masses are properly implemented in the calculation.