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 $ψ(3770)$ we present results of the Dalitz plot analysis of $D^+ \to π^-π^+π^+$. Using the CLEO-c and CLEO III samples of 5 pb$^{-1}$, accrued at mass of $ψ(2S)$, we study three body decays of $χ_{cJ}$ produced in the radiative decay $ψ(2S) \to γχ_{cJ}$, where $J$=0,1,2. A clear signal from at least one of $χ_{cJ}$ is found in eight final states: $π^+π^-η$, $π^+π^-η^\prime$, $K^+K^-π^0$, $K^0_S K π$, $ηK^+K^-$, $π^0 p\bar{p}$, $ηp\bar{p}$, and $ΛK^+\bar{p}$. For these modes we measured or set an upper limit on the branching fraction. A Dalitz plot analysis is performed on three modes $χ_{c1} \to π^+π^-η$, $K^+K^-π^0$, and $K^0_S K π$.