Decay rates and electromagnetic transitions of heavy quarkonia

TL;DR

This paper calculates electromagnetic transition widths and decay rates of heavy quarkonia using two potential models, comparing results with existing theories and experiments, highlighting the models' varying accuracy and the need for more experimental data.

Contribution

It provides a comparative analysis of decay widths in heavy quarkonia using extended harmonic confinement and Coulomb plus power potential models, including varying potential indices.

Findings

Mass spectra and decay widths from ERHM and CPP₁ are consistent with experimental data.

Electromagnetic transition widths vary widely across models, with no clear best model due to limited experimental data.

The study highlights the need for more experimental measurements of transition widths.

Abstract

The electromagnetic radiative transition widths for heavy quarkonia, as well as digamma and digluon decay widths, are computed in the framework of the extended harmonic confinement model (ERHM) and Coulomb plus power potential (CPP$_\nu$) with varying potential index $\nu$. The outcome is compared with the values obtained from other theoretical models and experimental results. While the mass spectra, digamma and digluon widths from ERHM as well as CPP$_{\nu=1}$ are in good agreement with experimental data, the electromagnetic transition widths span over a wide range for the potential models considered here making it difficult to prefer a particular model over the others because of the lack of experimental data for most transition widths.