Dalitz plot analysis of Ds+→π+π-π+

Abstract

A Dalitz plot analysis of approximately 13 000 D + s decays to π + π − π + has been performed. The analysis uses a 384 fb − 1 data sample recorded by the BABAR detector at the PEP-II asymmetric-energy e + e − storage ring running at center of mass energies near 10.6 GeV. Amplitudes and phases of the intermediate resonances which contribute to this final state are measured. A high precision measurement of the ratio of branching fractions is performed: B ( D + s → π + π − π + ) / B ( D + s → K + K − π + ) = 0.199 ± 0.004 ± 0.009 . Using a model-independent partial wave analysis, the amplitude and phase of the S wave have been measured.