Dalitz plot analysis of the D+→π-π+π+ decay

Using 281pb-1 of data recorded by the CLEO-c detector in e+e- collisions at the ψ(3770), corresponding to 0.78×106 D+D- pairs, we investigate the substructure of the decay D+→π-π+π+ using the Dalitz plot technique. We find that our data are consistent with the following intermediate states: ρ(770)π+, f2(1270)π+, f0(1370)π+, f0(1500)π+, f0(980)π+, and σπ+. We confirm large S wave contributions at low ππ mass. We set upper limits on contributions of other possible intermediate states. We consider three models of the ππ S wave and find that all of them adequately describe our data.