Study of the radiative decay $J/\psi\rightarrow\eta_{c}+\gamma$ in light cone sum rules

TL;DR

This paper employs light cone sum rules to analyze the radiative decay $J/9 ightarrow9_{c}+1$, deriving the transition form factor and decay width, and comparing results with other theoretical approaches.

Contribution

It introduces a light cone sum rules calculation for the decay process, providing a new estimate of the decay width consistent with existing sum rule results.

Findings

Calculated the transition form factor using leading twist distribution amplitude.

Derived the decay width for the radiative decay process.

Results are consistent with other sum rule calculations.

Abstract

At present, there are many experimental and theoretical results for $J/\psi\rightarrow\eta_{c}+\gamma$ process, while the results are inconsistent based on different methods and considerations. In this paper, the light cone sum rules method is used in studying the radiative decay $J/\psi\rightarrow\eta_{c}+\gamma$. We give the transition form factor of this process based on the leading twist distribution amplitude of $\eta_{c}$ meson, with this form factor further obtain the decay width. Our result is consistent with those of other sum rules. A comparison of our result with others' about the decay width is also presented.