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.