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Title: 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:
 [1];  [2];  [3]; ORCiD logo [4]; ORCiD logo [5];  [2];  [6]
  1. Univ. of Bonn (Germany); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
  2. Univ. of Bonn (Germany)
  3. Indiana Univ., Bloomington, IN (United States)
  4. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. Complutense Madrid (Spain)
  5. European Centre for Theoretical Studies in Nuclear Physics and related Areas (ECT*), Trento (Italy); INFN Sezione di Genova (Italy)
  6. 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. doi: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. doi: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 = {2019},
month = {8}
}

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