https://doi.org/10.1140/epjc/s10052-023-11665-x
Regular Article - Theoretical Physics
Analysis of rescattering effects in 
final states
1
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
2
Helmholtz Forschungsakademie Hessen für FAIR (HFHF), GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, 64291, Darmstadt, Germany
3
ORIGINS Excellence Cluster, Ludwig-Maximilians-Universität München, 80939, Munich, Germany
Received:
2
May
2023
Accepted:
28
May
2023
Published online:
15
June
2023
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 amplitude decompositions for four decay processes with total 
, 
, 
, and 
, all of which decay predominantly as 
states. Two-pion rescattering is described in terms of an Omnès function, which incorporates the 
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.
The original online version of this article was revised. The last plot in the lower right corner of figure 11 was not displayed correctly which has been updated.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-023-11749-8.
Copyright comment corrected publication 2023
© The Author(s) 2023. corrected publication 2023
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