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- W4312122506 abstract "Decays into three particles are often described in terms of two-body resonances and a non-interacting spectator particle. To go beyond this simplest isobar model, crossed-channel rescattering effects need to be accounted for. We quantify the importance of these rescattering effects in three-pion systems for different decay masses and angular-momentum quantum numbers. We provide the amplitude decompositions for four decay processes with total $J^{PC} = 0^{--}$, $1^{--}$, $1^{-+}$, and $2^{++}$, all of which decay predominantly as $rhopi$ states. Two-pion rescattering is described in terms of an Omn`es function, which incorporates the $rho$ resonance. Inclusion of crossed-channel effects is achieved by solving the Khuri-Treiman integral equations. The unbinned log-likelihood estimator is used to determine the significance of the rescattering effects beyond two-body resonances; we compute the minimum number of events necessary to unambiguously find these in future Dalitz-plot analyses. Kinematic effects that enhance or dilute the rescattering are identified for the selected set of quantum numbers and various masses." @default.
- W4312122506 created "2023-01-04" @default.
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- W4312122506 date "2022-12-22" @default.
- W4312122506 modified "2023-09-27" @default.
- W4312122506 title "Analysis of rescattering effects in $3pi$ final states" @default.
- W4312122506 doi "https://doi.org/10.48550/arxiv.2212.11767" @default.
- W4312122506 hasPublicationYear "2022" @default.
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