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arXiv · 1708.00446

Consistent Dalitz plot analysis of Cabibbo-favored $D^+ \to \bar{K} \pi \pi^+$ decays

Franz Niecknig·Bastian Kubis
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Abstract

We resume the study of the Cabibbo-favored charmed-meson decays $D^+ \to \bar{K} \pi \pi^+$ in a dispersive framework that satisfies unitarity, analyticity, and crossing symmetry by construction. The formalism explicitly describes the strong final-state interactions between all three decay products and relies on pion-pion and pion-kaon phase shift input. For the first time, we show that the $D^+ \to K_S \pi^0 \pi^+$ Dalitz plot obtained by the BESIII collaboration as well as the $D^+ \to K^- \pi^+ \pi^+$ Dalitz plot data by CLEO and FOCUS can be described consistently, exploiting the isospin relation between the two coupled decay channels that provides better constraints on the subtraction constants.

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Franz Niecknig, Bastian Kubis. 2017-08-01. Consistent Dalitz plot analysis of Cabibbo-favored $D^+ \to \bar{K} \pi \pi^+$ decays. https://doi.org/10.1016/j.physletb.2018.03.048

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