Analysis of rescattering effects in $3\pi$ final states
| Autor: | Stamen, Dominik, Isken, Tobias, Kubis, Bastian, Mikhasenko, Mikhail, Niehus, Malwin |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epjc/s10052-023-11665-x |
| Popis: | 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 $\rho\pi$ 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. Comment: 22 pages, 13 figures; v2: reconstruction theorem for 2++ channel corrected |
| Databáze: | arXiv |
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