Charm Dalitz analyzes from CLEO-c

Abstract

I discuss CLEO-c opportunities in Dalitz plot analyzes with the data samples available now and projected by the end of CESR-c run. Using 281 pb$^{-1}$ of $e^+e^-$ collisions at mass of $\psi(3770)$ we present results of the Dalitz plot analysis of $D^+ \to \pi^-\pi^+\pi^+$. Using the CLEO-c and CLEO III samples of 5 pb$^{-1}$, accrued at mass of $\psi(2S)$, we study three body decays of $\chi_{cJ}$ produced in the radiative decay $\psi(2S) \to \gamma \chi_{cJ}$, where $J$=0,1,2. A clear signal from at least one of $\chi_{cJ}$ is found in eight final states: $\pi^+\pi^-\eta$, $\pi^+\pi^-\eta^\prime$, $K^+K^-\pi^0$, $K^0_S K \pi$, $\eta K^+K^-$, $\pi^0 p\bar{p}$, $\eta p\bar{p}$, and $\Lambda K^+\bar{p}$. For these modes we measured or set an upper limit on the branching fraction. A Dalitz plot analysis is performed on three modes $\chi_{c1} \to \pi^+\pi^-\eta$, $K^+K^-\pi^0$, and $K^0_S K \pi$.