Coupled-channel Dalitz plot analysis of $D^+\to K^- π^+π^+$ decay

Abstract

We demonstrate that partial wave amplitudes extracted from D + → K − π + π + Dalitz plot with a unitary coupled-channel model are significantly different from those obtained with an isobar model. The unitary coupled-channel model takes account of hadronic rescattering mechanisms involving all three mesons that have been missed in conventioanl isobar model analyses. The rescattering mechanisms contribute largely, and can triplicate the D + → K − π + π + decay width within our analysis. These findings deliver a warning that analysis results obtained with isobar models should be looked with a caution. The determination of the CKM angle γ/φ 3 is a highly relevant problem.