Three-particle systems with resonant subprocesses in a finite volume

Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.

doi:10.1103/PhysRevD.99.014516

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

Journal Article · Wed Jan 30 00:00:00 EST 2019 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.99.014516· OSTI ID:1492914

Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.

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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011637; AC05-06OR23177

OSTI ID:: 1492914

Alternate ID(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; PRVDAQ; 014516

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 99 Journal Issue: 1; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 60 works

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