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

We demonstrate that partial wave amplitudes extracted from $D^+\to K^-π^+π^+$ 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 $D^+\to {K}^-π^+π^+$ 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.

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