Dalitz Plot Analysis of the Decay $\ddot{I}‰\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0$

Abstract

Using a low-background sample of $2.6\times 10^5$ $J/\ddot{I}ˆ\to \ddot{I}‰\hat{I}\cdot (\ddot{I}‰\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0,\hat{I}\cdot \to {\hat{I}}^3{\hat{I}}^3)$ events, about 5 times larger statistics than previous experiments, we present a Dalitz plot analysis of the decay $\ddot{I}‰\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0$. It is found that the Dalitz plot distribution differs from the pure $P$-wave phase space with a statistical significance of $18.9\ddot{I}ƒ$. The parameters from the fit to data are in reasonable agreement with those without the cross-channel effect within the dispersive framework, which indicates that the cross-channel effect in $\ddot{I}‰\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0$ is not significant.

9 pages, 9 figures