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

Abstract

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.

To appear in Physics Letters B

References in corpus (2)

• Scalar mesons above and below 1 GeV
• Dalitz Plot Analysis of the Decay D^+ --> K^- pi^+ pi^+ and Indication of a Low-Mass Scalar K pi Resonance

Cited by in corpus (4)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Three-body nonleptonic B decays in perturbative QCD
• Model Independent Measurement of \swave $K^{-}{\pi }^{+}$ systems using $\Dp\to Kππ$ Decays from Fermilab E791
• Phase Motion in the Scalar Low-Mass pi+pi- Amplitude in D+ -> pi-pi+pi+ Decay