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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. 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. 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.

Authors:
; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1492914
Alternate Identifier(s):
OSTI ID: 1493163; OSTI ID: 1595123
Report Number(s):
JLAB-THY-18-2819; DOE/OR/-23177-4553; arXiv:1810.01429; CERN-TH-2018-216
Journal ID: ISSN 2470-0010; PRVDAQ; 014516
Grant/Contract Number:  
SC0011637; AC05-06OR23177
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D 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. https://doi.org/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. https://doi.org/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. https://doi.org/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. 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. 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
https://doi.org/10.1103/PhysRevD.99.014516

Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

Figures / Tables:

TABLE I TABLE I: Summary of kinematics used throughout the paper.

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