Relative phases in Dalitz plot amplitudes for $D^0 \to K_S π^+ π^-$ and $D^0 \to π^0 K^+ K^-$

Details Relative phases in Dalitz plot amplitudes for $D^0 \to K_S π^+ π^-$ and $D^0 \to π^0 K^+ K^-$ Relative phases in Dalitz plot amplitudes for $D^0 \to K_S π^+ π^-$ and $D^0 \to π^0 K^+ K^-$

2010-08-24

arxiv.org/abs/1008.4083v4

Phys.Rev.D82:074025,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 3 figures, to be published in Phys. Rev. D. Additonal figure, text, and references; minor corrections

Scientific paper

10.1103/PhysRevD.82.074025

Relative phases of amplitudes for $D$ meson decays to a light pseudoscalar meson $P$ and a light vector meson $V$ decaying to two pseudoscalar mesons will lead to characteristic interferences on the three-body Dalitz plot. These phases may be compared with predictions of a flavor-symmetric treatment which extracts contributing amplitudes and their relative phases from a fit to $D \to PV$ decay rates. Good agreement was found previously for the cases of $D^0 \to K^- \pi^+ \pi^0$ and $D^0 \to \pi^+ \pi^- \pi^0$. The present work is devoted to the decays $D^0 \to K_S \pi^+ \pi^-$ and $D^0 \to \pi^0 K^+ K^-$, for which agreement is not found. Several suggestions are offered for this discrepancy.

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