K pi form factors, final state interactions and D+ -> K- pi+ pi+ decays

Abstract

We present a model for the decay $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$. The weak interaction part of this reaction is described using the effective weak Hamiltonian in the factorisation approach. Hadronic final state interactions are taken into account through the $K\pi$ scalar and vector form factors fulfilling analyticity, unitarity and chiral symmetry constraints. Allowing for a global phase difference between the $S$ and $P$ waves of $-65^{\circ }$, the Dalitz plot of the $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ decay, the $K\pi$ invariant mass spectra and the total branching ratio due to $S$-wave interactions are well reproduced.

Comments: 5 pages, uses aipproc style. Talk presented by R. Escribano at the XIII International Conference on Hadron Spectroscopy (HADRON09), Florida State University (Tallahassee), USA, 29.11-4.12.2009