Three-body scattering: ladders and resonances
Abstract
We report on unitarity constraints on the dynamics of a system of three interacting particles. We reveal 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.
- Authors:
-
[4];
[5];
- 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):
- JLAB-THY-19-2924; DOE/OR/-23177-4680; arXiv:1904.11894
Journal ID: ISSN 1029-8479
- Grant/Contract Number:
- AC05-06OR23177
- 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 1029-8479
- 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. Three-body 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. Three-body scattering: ladders and resonances. United States. https://doi.org/10.1007/JHEP08(2019)080
Mikhasenko, Mikhail, Wunderlich, Y., Jackura, A., Mathieu, Vincent, Pilloni, Alessandro, Ketzer, Bernhard, and Szczepaniak, A. P. Wed .
"Three-body scattering: ladders and resonances". United States. https://doi.org/10.1007/JHEP08(2019)080. https://www.osti.gov/servlets/purl/1557642.
@article{osti_1557642,
title = {Three-body 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 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.},
doi = {10.1007/JHEP08(2019)080},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2019,
place = {United States},
year = {Wed Aug 14 00:00:00 EDT 2019},
month = {Wed Aug 14 00:00:00 EDT 2019}
}
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Works referencing / citing this record:
Three-body unitarity versus finite-volume $π^+π^+π^+$ spectrum from lattice QCD
text, January 2019
- Mai, M.; Döring, M.; Culver, C.
- arXiv