$Ψ(2S)$ decay to $J/Ψ(1S)$ +2$π$ or $J/Ψ(1S)$ + $σ$ + 2$π$

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

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