Kπ form factors and final state interactions in D+→K-π+π+ decays

D. R. Boito, R. Escribano

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Abstract

We present a model for the decay D+→K-π+π+. The weak interaction part of this reaction is described using the effective weak Hamiltonian in the factorization approach. Hadronic final state interactions are taken into account through the Kπ 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 experiments 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°, the Dalitz plot of the D+→K-π+π+ decay, the Kπ invariant mass spectra and the total branching ratio due to S-wave interactions are well reproduced. © 2009 The American Physical Society.
Original languageEnglish
Article number054007
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume80
Issue number5
DOIs
Publication statusPublished - 9 Sep 2009

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    Boito, D. R., & Escribano, R. (2009). Kπ form factors and final state interactions in D+→K-π+π+ decays. Physical Review D - Particles, Fields, Gravitation and Cosmology, 80(5), [054007]. https://doi.org/10.1103/PhysRevD.80.054007