$\Psi (2S)$ 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 $\sigma \to 2\pi$ 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 $\sigma \to {\pi }^{+}+{\pi }^{-}$ transition.

Comments: 11 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1509.08366