Three-body scattering: ladders and resonances



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Mikhasenko, M. and Wunderlich, Y. and Jackura, A. and Mathieu, Vincent and Pilloni, A. and Ketzer, B. and Szczepaniak, A.P. (2019) Three-body scattering: ladders and resonances. Journal of High Energy Physics, 2019 (8). ISSN 1029-8479

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We discuss unitarity constraints on the dynamics of a system of three interacting particles. We show how the short-range interaction that describes three-body resonances can be separated from the long-range exchange processes, in particular the one-pion-exchange process. It is demonstrated that unitarity demands a specific functional form of the amplitude with a clear interpretation: the bare three-particle resonances are dressed by the initial- and final-state interaction, in a way that is consistent with the considered long-range forces. We postulate that the resonance kernel admits a factorization in the energy variables of the initial- and the final-state particles. The factorization assumption leads to an algebraic form for the unitarity equations, which is reminiscent of the well-known two-body-unitarity condition and approaches it in the limit of the narrow-resonance approximation.

Item Type:Article
Uncontrolled Keywords:Phenomenological Models, QCD Phenomenology
Subjects:Sciences > Physics > Particles
ID Code:74446
Deposited On:20 Sep 2022 11:41
Last Modified:02 Mar 2023 18:12

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