Publications
Publication Information
| Title | Three-body scattering: Ladders and Resonances |
| Authors | Mikhail Mikhasenko, Y. Wunderlich, Andrew Jackura, Vincent Mathieu, Alessandro Pilloni, Bernhard Ketzer, Adam Szczepaniak |
| JLAB number | JLAB-THY-19-2924 |
| LANL number | arXiv:1904.11894 |
| Other number | DOE/OR/23177-4680 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | DE-FG02-87ER40365 PHY-1415459 |
|
Journal Compiled for Journal of High Energy Physics Volume 1908 Page(s) 080 Refereed | |
| Publication 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. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1007/JHEP08(2019)080 |
| Accepted Manuscript: | Mikhasenko2019_Article_Three-bodyScatteringLaddersAnd.pdf |
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