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

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

Satoshi X. Nakamura
(
- Osaka U.
)

Apr 10, 2015

26 pages

Published in:

Phys.Rev.D 93 (2016) 1, 014005

Published: Jan 8, 2016

e-Print:

1504.02557 [hep-ph]

DOI:

10.1103/PhysRevD.93.014005

View in:

ADS Abstract Service

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Abstract: (APS)

We perform a coupled-channel analysis of pseudodata for the D+→K-π+π+ 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-π+π+ 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 ππ and πK¯ 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-π+π+ 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-π+π+ decay width can get almost triplicated when the rescattering mechanisms are turned on. Among the rescattering mechanisms, those associated with the ρ(770)K¯0 channel, which contribute to D+→K-π+π+ only through a channel coupling, give a large contribution and significantly improve the quality of the fits. The K-π+ 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 ρ(770)K¯0 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.

Note:

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

model: coupled channel
decay: vertex
symmetry: local
pseudoscalar meson
final-state interaction
scattering amplitude
isobar model
Dalitz plot
unitarity
rho(770)

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