%0 Journal Article
%A Mikhasenko, M.
%A Wunderlich, Y.
%A Jackura, A.
%A Mathieu, Vincent
%A Pilloni, A.
%A Ketzer, B.
%A Szczepaniak, A.P.
%T Three-body scattering: ladders and resonances
%D 2019
%@ 1029-8479
%U https://hdl.handle.net/20.500.14352/12881
%X 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.
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