RT Journal Article
T1 Three-body scattering: ladders and resonances
A1 Mikhasenko, M.
A1 Wunderlich, Y.
A1 Jackura, A.
A1 Mathieu, Vincent
A1 Pilloni, A.
A1 Ketzer, B.
A1 Szczepaniak, A.P.
AB 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.
PB Springer
SN 1029-8479
YR 2019
FD 2019-08-14
LK https://hdl.handle.net/20.500.14352/12881
UL https://hdl.handle.net/20.500.14352/12881
LA eng
DS Docta Complutense
RD 16 may 2024