Analysis of the D+, Ds+ → π−π+π+ Dalitz plots

Abstract An amplitude analysis of the D + , D s + → π − π + π + Dalitz plots is presented using data collected by the Fermilab high-energy photoproduction experiment E687. The data are fitted to a model consisting of a sum of relativistic Breit-Wigner amplitudes for the intermediate two-body resonant decay modes plus a flat non-resonant contribution. From the fit we derive decay fractions and relative phases. We also present measurements of Γ(D + →π − π + π + ) Γ(D + →K − π + π + ) and Γ(D s + →π − π + π + ) Γ(D s + →K − K + π + ) .