Threeparticle systems with resonant subprocesses in a finite volume
Abstract
In previous work, we have developed a relativistic, modelindependent threeparticle quantization condition, but only under the assumption that no poles are present in the twoparticle 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 Gparity symmetry, in the case that the twoparticle K matrix has a pole in the kinematic regime of interest. Here, as in earlier work, our result involves intermediate infinitevolume quantities with no direct physical interpretation, and we show how these are related to the physical threetothree 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:

 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
 European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
 Univ. of Washington, Seattle, WA (United States). Dept. of Physics
 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):
 JLABTHY182819; DOE/OR/231774553; arXiv:1810.01429; CERNTH2018216
Journal ID: ISSN 24700010; PRVDAQ
 Grant/Contract Number:
 SC0011637; AC0506OR23177
 Resource Type:
 Published Article
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 99; Journal Issue: 1; Journal ID: ISSN 24700010
 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. Threeparticle 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. Threeparticle 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 .
"Threeparticle systems with resonant subprocesses in a finite volume". United States. https://doi.org/10.1103/PhysRevD.99.014516.
@article{osti_1492914,
title = {Threeparticle 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, modelindependent threeparticle quantization condition, but only under the assumption that no poles are present in the twoparticle 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 Gparity symmetry, in the case that the twoparticle K matrix has a pole in the kinematic regime of interest. Here, as in earlier work, our result involves intermediate infinitevolume quantities with no direct physical interpretation, and we show how these are related to the physical threetothree 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}
}
https://doi.org/10.1103/PhysRevD.99.014516
Web of Science
Figures / Tables:
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