| Article | |
| Report number | arXiv:1904.11894 ; JLAB-THY-19-2924 |
| Title | Three-body scattering: Ladders and Resonances |
| Author(s) | Mikhasenko, M. (Bonn U., HISKP ; CERN) ; Wunderlich, Y. (Bonn U., HISKP) ; Jackura, A. (Indiana U., CEEM ; Indiana U.) ; Mathieu, V. (Jefferson Lab ; Madrid U.) ; Pilloni, A. (ECT, Trento ; INFN, Genoa ; Fond. Bruno Kessler, Trento) ; Ketzer, B. (Bonn U., HISKP) ; Szczepaniak, A.P. (Indiana U., CEEM ; Indiana U. ; Jefferson Lab) |
| Publication | 2019-08-14 |
| Imprint | 2019-04-26 |
| Number of pages | 15 |
| Note | 15 pages, 1 figure |
| In: | JHEP 1908 (2019) 080 |
| DOI | 10.1007/JHEP08(2019)080 |
| Subject category | hep-ph ; Particle Physics - Phenomenology |
| Abstract | 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. |
| Copyright/License | publication: (License: CC-BY-4.0) preprint: (License: arXiv nonexclusive-distrib 1.0) |
Corresponding record in: Inspire
Registre creat el 2019-05-14, darrera modificació el 2024-09-03