Complex amplitude phase motion in Dalitz plot heavy meson three body decay

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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To appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(02)02983-0

We propose a method to determine the phase motion of a complex amplitude in three body heavy meson decays. We show that the phase variation of a complex amplitude can be directly revealed through the interference observed in the Dalitz Plot region where it crosses with a well established resonant state. This method could be applied to the decays \d3pi and $D^+\to K^-\pi^+\pi^+$, to determine whether the low mass states $\sigma$ and $\kappa$, suggested by E791, have phase motions compatible with resonances.

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