Sigma and Pion Decays of Mixed Heavy Hybrids

TL;DR

This paper estimates the decay branching ratio of a mixed hybrid charmonium state, specifically the $\sigma$ to 2$\pi$ decay, using the external field method, and finds results consistent with experimental data.

Contribution

It introduces a method to estimate decay ratios of mixed heavy hybrid mesons using correlators and the external field approach.

Findings

The $\sigma$ to 2$\pi$ branching ratio for $\Psi'(2S)$ is approximately 0.98.

Results agree with experimental measurements at IHEP-BES.

Supports the mixed hybrid nature of $\Psi'(2S)$.

Abstract

We estimate the relative branching ratio of $\sigma$ to 2$\pi$ for the decay of the $\Psi'(2S)$, which we have found to be a mixed charm and hybrid charmonium meson. The external field method and correlators from a previous calculation are used to estimate these decays. We find the $\sigma$ to 2$\pi$ branching ratio for $\Psi'(2S)$ to the $J/\Psi(1S)$ decay to be 0.98, in agreement with an experiment at IHEP-BES.