2015
DOI: 10.1007/jhep10(2015)142
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Dispersion-theoretical analysis of the D + → K − π + π + Dalitz plot

Abstract: Abstract:We study the Dalitz plot of the Cabibbo-favored charmed-meson decay D + → K − π + π + using dispersion theory. The formalism respects all constraints from analyticity and unitarity, and consistently describes final-state interactions between all three decay products. We employ pion-pion and pion-kaon phase shifts as input, and fit the pertinent subtraction constants to Dalitz plot data by the CLEO and FOCUS collaborations. Phase motions of resonant as well as nonresonant amplitudes are discussed, whic… Show more

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Cited by 62 publications
(53 citation statements)
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“…The K − π + FSI in the D + → K − π + π + data of the E791 Collaboration has been the subject of many studies using different effective hadronic formalism approaches [15,16,17,18,19]. In Ref.…”
Section: Final-state Interaction Constraints 21 Different Effective mentioning
confidence: 99%
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“…The K − π + FSI in the D + → K − π + π + data of the E791 Collaboration has been the subject of many studies using different effective hadronic formalism approaches [15,16,17,18,19]. In Ref.…”
Section: Final-state Interaction Constraints 21 Different Effective mentioning
confidence: 99%
“…In Ref. [18] a full dispersive Khuri-Treiman formalism is applied, resumming rescattering contributions to all orders using ππ and πK phase shifts as input, and fitting subtraction constants to the experimental Dalitz plots from CLEO and FOCUS. S. X. Nakamura [19] has performed a coupled-channel analysis of pseudo-data generated from the isobar model of the E791 Collaboration.…”
Section: Final-state Interaction Constraints 21 Different Effective mentioning
confidence: 99%
“…The analysis of the K − π + π + final state produced in D + decays performed in Ref. [14] is more complicated because it includes 8 scattering amplitudes.…”
Section: Systematic Approach To Rescatteringmentioning
confidence: 99%
“…Consider the part of the amplitude which corresponds to the production of the interacting pair π 2 π 3 . Without rescattering this amplitude would be t This approach has already been successfully applied to several reactions [15,16,17,14]; the complexity of the model is currently being increased continuously. The first two items summarize the recent achievements, the further items represent our ideas to proceed:…”
Section: Systematic Approach To Rescatteringmentioning
confidence: 99%
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