Threebody scattering: ladders and resonances
Abstract
We report on unitarity constraints on the dynamics of a system of three interacting particles. We reveal how the shortrange interaction that describes threebody resonances can be separated from the longrange exchange processes, in particular the onepionexchange process. It is demonstrated that unitarity demands a specific functional form of the amplitude with a clear interpretation: the bare threeparticle resonances are dressed by the initial and finalstate interaction, in a way that is consistent with the considered longrange forces. We postulate that the resonance kernel admits a factorization in the energy variables of the initial and the finalstate particles. The factorization assumption leads to an algebraic form for the unitarity equations, which is reminiscent of the wellknown twobodyunitarity condition and approaches it in the limit of the narrowresonance approximation.
 Authors:

 Univ. of Bonn (Germany); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
 Univ. of Bonn (Germany)
 Indiana Univ., Bloomington, IN (United States)
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. Complutense Madrid (Spain)
 European Centre for Theoretical Studies in Nuclear Physics and related Areas (ECT*), Trento (Italy); INFN Sezione di Genova (Italy)
 Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Publication Date:
 Research Org.:
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1557642
 Report Number(s):
 JLABTHY192924; DOE/OR/231774680; arXiv:1904.11894
Journal ID: ISSN 10298479
 Grant/Contract Number:
 AC0506OR23177
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 8; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Phenomenological Models; QCD Phenomenology
Citation Formats
Mikhasenko, Mikhail, Wunderlich, Y., Jackura, A., Mathieu, Vincent, Pilloni, Alessandro, Ketzer, Bernhard, and Szczepaniak, A. P. Threebody scattering: ladders and resonances. United States: N. p., 2019.
Web. doi:10.1007/JHEP08(2019)080.
Mikhasenko, Mikhail, Wunderlich, Y., Jackura, A., Mathieu, Vincent, Pilloni, Alessandro, Ketzer, Bernhard, & Szczepaniak, A. P. Threebody scattering: ladders and resonances. United States. doi:10.1007/JHEP08(2019)080.
Mikhasenko, Mikhail, Wunderlich, Y., Jackura, A., Mathieu, Vincent, Pilloni, Alessandro, Ketzer, Bernhard, and Szczepaniak, A. P. Wed .
"Threebody scattering: ladders and resonances". United States. doi:10.1007/JHEP08(2019)080. https://www.osti.gov/servlets/purl/1557642.
@article{osti_1557642,
title = {Threebody scattering: ladders and resonances},
author = {Mikhasenko, Mikhail and Wunderlich, Y. and Jackura, A. and Mathieu, Vincent and Pilloni, Alessandro and Ketzer, Bernhard and Szczepaniak, A. P.},
abstractNote = {We report on unitarity constraints on the dynamics of a system of three interacting particles. We reveal how the shortrange interaction that describes threebody resonances can be separated from the longrange exchange processes, in particular the onepionexchange process. It is demonstrated that unitarity demands a specific functional form of the amplitude with a clear interpretation: the bare threeparticle resonances are dressed by the initial and finalstate interaction, in a way that is consistent with the considered longrange forces. We postulate that the resonance kernel admits a factorization in the energy variables of the initial and the finalstate particles. The factorization assumption leads to an algebraic form for the unitarity equations, which is reminiscent of the wellknown twobodyunitarity condition and approaches it in the limit of the narrowresonance approximation.},
doi = {10.1007/JHEP08(2019)080},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2019,
place = {United States},
year = {2019},
month = {8}
}
Web of Science
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