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Title: Three-particle systems with resonant subprocesses in a finite volume

Abstract

In previous work, we have developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that no poles are present in the two-particle K matrices that appear as scattering subprocesses [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 90, 116003 (2014); M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015); R. A. Briceño et al., Phys. Rev. D 95, 074510 (2017).]. Here we lift this restriction, by deriving the quantization condition for identical scalar particles with a G-parity symmetry, in the case that the two-particle K matrix has a pole in the kinematic regime of interest. Here, as in earlier work, our result involves intermediate infinite-volume quantities with no direct physical interpretation, and we show how these are related to the physical three-to-three scattering amplitude by integral equations. This work opens the door to study processes such as a 2→ρπ→πππ, in which the ρ is rigorously treated as a resonance state.

Authors:
ORCiD logo [1];  [2];  [3]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
  3. Univ. of Washington, Seattle, WA (United States). Dept. of Physics
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1492914
Alternate Identifier(s):
OSTI ID: 1493163
Report Number(s):
JLAB-THY-18-2819; DOE/OR/-23177-4553; arXiv:1810.01429; CERN-TH-2018-216
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
SC0011637; AC05-06OR23177
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 99; Journal Issue: 1; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Briceño, Raúl A., Hansen, Maxwell T., and Sharpe, Stephen R.. Three-particle systems with resonant subprocesses in a finite volume. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.014516.
Briceño, Raúl A., Hansen, Maxwell T., & Sharpe, Stephen R.. Three-particle systems with resonant subprocesses in a finite volume. United States. doi:10.1103/PhysRevD.99.014516.
Briceño, Raúl A., Hansen, Maxwell T., and Sharpe, Stephen R.. Wed . "Three-particle systems with resonant subprocesses in a finite volume". United States. doi:10.1103/PhysRevD.99.014516.
@article{osti_1492914,
title = {Three-particle systems with resonant subprocesses in a finite volume},
author = {Briceño, Raúl A. and Hansen, Maxwell T. and Sharpe, Stephen R.},
abstractNote = {In previous work, we have developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that no poles are present in the two-particle K matrices that appear as scattering subprocesses [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 90, 116003 (2014); M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015); R. A. Briceño et al., Phys. Rev. D 95, 074510 (2017).]. Here we lift this restriction, by deriving the quantization condition for identical scalar particles with a G-parity symmetry, in the case that the two-particle K matrix has a pole in the kinematic regime of interest. Here, as in earlier work, our result involves intermediate infinite-volume quantities with no direct physical interpretation, and we show how these are related to the physical three-to-three scattering amplitude by integral equations. This work opens the door to study processes such as a2→ρπ→πππ, in which the ρ is rigorously treated as a resonance state.},
doi = {10.1103/PhysRevD.99.014516},
journal = {Physical Review D},
number = 1,
volume = 99,
place = {United States},
year = {2019},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.99.014516

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