Analysis of the decays $\psi^{\prime}\to {J/\psi}\pi^+\pi^-$ and $\eta_c^{\prime}\to {\eta_c}\pi^+\pi^-$ with the heavy quark symmetry

TL;DR

This paper investigates specific heavy quarkonium decays involving pions, incorporating chiral symmetry breaking, final-state interactions, and heavy quark symmetry, aiming to compare theoretical predictions with future experimental data.

Contribution

It introduces a comprehensive analysis of these decays considering multiple effects, providing a framework to test heavy quark symmetry and chiral symmetry breaking.

Findings

Predictions for decay widths and differential decay widths are made.

Framework to compare with future experimental data is established.

Constraints on chiral breaking effects and final-state interactions are proposed.

Abstract

In this article, we study the decays $\psi^{\prime}\to {J/\psi}\pi^+\pi^-$ and $\eta_c^{\prime}\to {\eta_c}\pi^+\pi^-$ by taking into account the chiral symmetry breaking effects, the final-state interactions and the heavy quark symmetry. We can confront the predictions of the $\eta_c^{\prime}\to \eta_c \pi^+\pi^-$ decay width and differential decay width with the experimental data in the future, and obtain powerful constraints on the chiral breaking effects and the final-state interactions, and test the heavy quark symmetry.