Coupled-channel analysis of $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ decay

Abstract

We perform a coupled-channel analysis of pseudodata for the D+-> K-pi+pi+ Dalitz plot. The pseudodata are generated from the isobar model of the E791 Collaboration, and are reasonably realistic. We demonstrate that it is feasible to analyze the high-quality data within a coupled-channel framework that describes the final state interaction of D+-> K-pi+pi+ as multiple rescatterings of three pseudoscalar mesons through two-pseudoscalar-meson interactions in accordance with the two-body and three-body unitarity. The two-pseudoscalar-meson interactions are designed to reproduce empirical pi pi and pi bar K scattering amplitudes. Furthermore, we also include mechanisms that are beyond simple iterations of the two-body interactions, i.e., a three-meson force, derived from the hidden local symmetry model. A picture of hadronic dynamics in D+-> K-pi+pi+ described by our coupled-channel model is found to be quite different from those of the previous isobar-type analyses. For example, we find that the D+-> K-pi+pi+ decay width can get almost triplicated when the rescattering mechanisms are turned on. Among the rescattering mechanisms, those associated with the rho(770) bar K0 channel, which contribute to D+-> K-pi+pi+ only through a channel coupling, give a large contribution, and significantly improve the quality of the fits. The K-pi+ s-wave amplitude from our analysis is reasonably consistent with those extracted from the E791 model independent partial-wave analysis; the hadronic rescattering and the coupling to the rho(770) bar K0 channel play a major role here. We also find that the dressed D+ decay vertices have phases, induced by the strong rescatterings, that strongly depend on the momenta of the final pseudoscalar mesons. Although the conventional isobar-type analyses have assumed the phases to be constant, this common assumption is not supported by our more microscopic viewpoint.

39 pages, 16 figures, published version, substantial changes (essentially new analysis) have been made from v1

References in corpus (10)

• Big-Bang Nucleosynthesis
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Extraction of Resonances from Meson-Nucleon Reactions
• Extraction of Electromagnetic Transition Form Factors for Nucleon Resonances within a Dynamical Coupled-Channels Model
• Extraction of Meson Resonances from Three-pions Photo-production Reactions
• Dalitz plot studies of D0 --> K0S pi+ pi- decays in a factorization approach
• Amplitude Analysis of the $D^{+}\to K_S^0{\pi }^{+}{\pi }^0$ Dalitz Plot
• Final state interaction in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ with $K\pi$ I=1/2 and 3/2 channels
• Dalitz plot studies of $D^0\to K_S^0{K}^{+}{K}^{-}$ decays in a factorization approach
• $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ - the weak vector current

Cited by in corpus (20)

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• $B^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$: three-body final state interactions and $K\pi$ isospin states
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• Theoretical analysis of direct $CP$ violation and differential decay width in $D^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in phase space around the resonances ${\rho }^0(770)$ and $f_0(500)$
• Cross sections for 2-to-3 meson-meson scattering
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