$\Psi(2S)$ Decay to $J/\Psi(1S)$ + 2$\pi$ or $J/\Psi(1S)$ +$\sigma$ + 2$\pi$

Abstract

The BES Collaboration has measured $\Psi(2S)$ decay to $J/\Psi \pi^+\pi^-$. Using the mixed hybrid theory for the $\Psi(2S)$ we estimate the decay to $J/\Psi(1S)$ + $\sigma$. Using the known $\sigma \rightarrow 2\pi$ coupling constant, we estimate the $\Psi(2S)$ to $J/\Psi(1S)$ + $2\pi$ decay rate and angular distribution. This is an extension of our previous research on $\Psi(2S)$ Decay to $J/\Psi(1S)$ +$\sigma$ + 2$\pi^o$, without the production of 2$\pi^o$, and with an estimate of the $\sigma \rightarrow \pi^+ + \pi^-$ transition.