Estimating the I=3/2 K pi interaction in D decay

Abstract

Heavy flavour decay to light hadrons is the key to understanding many aspects of the SM from CP violation to strong dynamics. It is often presumed in line with the simple quark spectator model of D decay to Kpipi that the Kpi system has only I=1/2. E791 have recently presented an analysis of their results on D+ to (K-pi+)pi+ using a generalised isobar picture of two body interactions. While higher Kpi waves are described by sums of known resonances, the S-wave amplitude and phase are determined bin-by-bin in Kpi mass. The phase variation is found not to be that of K-pi+ elastic scattering. This hints at a different mixture of I=1/2 and I=3/2 S-wave interactions than in elastic scattering. Applying Watson's theorem to this generalised isobar model allows us to estimate the I=3/2 Kpi S-wave component. We indeed find that this is larger than in hadronic scattering or semileptonic processes.

12 pages, 5 figures. Version accepted for publication in Physics Letters B, includes a self-contained explanation of Dalitz analysis on which this paper is based

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• Dalitz Analysis of the Decay $D^0\to K^{-}{\pi }^{+}{\pi }^0$
• Dalitz plot analysis of D_s+ and D+ decay to pi+pi-pi+ using the K-matrix formalism
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• Dalitz plot analysis of the D+ to K-pi+pi+ decay in the FOCUS experiment
• Consistent Dalitz plot analysis of Cabibbo-favored $D^{+}\to \bar{K}\pi {\pi }^{+}$ decays
• Coupled-channel analysis of $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ decay
• Scalars in the hadron world: the Higgs sector of the strong interaction
• Comment on evidence for new interference phenomena in the decay D+ -> K- pi+ mu+ nu
• Dalitz Analyses: A Tool for Physics within and Beyond the Standard Model
• Studies on ${\pi }^{+}{\pi }^{-}$ phase motion in the ${\Psi }^{\prime }\to J/\Psi {\pi }^{+}{\pi }^{-}$ process