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

Abstract

We present a model for the decay D+ --> 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 Kpi scalar and vector form factors fulfilling analyticity, unitarity and chiral symmetry constraints. The model has only two free parameters that are fixed from experimental branching ratios. We show that the modulus and phase of the S wave thus obtained agree nicely with experiment up to 1.55 GeV. We perform Monte Carlo simulations to compare the predicted Dalitz plot with experimental analyses. Allowing for a global phase difference between the S and P waves of -65 degrees, the Dalitz plot of the D+ --> K- pi+ pi+ decay, the Kpi invariant mass spectra and the total branching ratio due to S-wave interactions are well reproduced.

24 pages, 4 figures, REVTeX style. A discussion on the isospin 2 component has been included. Two references added. Published in Phys. Rev. D

References in corpus (6)

• A low-lying scalar meson nonet in a unitarized meson model
• Charm Meson Decays
• K pi vector form factor, dispersive constraints and tau -> nu_tau K pi decays
• What can be learned from the Belle spectrum for the decay tau- -> nu_tau K_S pi-
• The Scalar Meson f0(980) in Heavy-Meson Decays
• Scalar resonances in a unitary $\pi -\pi$ $S$-wave model for $D^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$