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Title: Equivalence of relativistic three-particle quantization conditions

Journal Article · · Physical Review. D.

We show that a recently derived alternative form of the relativistic three-particle quantization condition for identical particles can be rewritten in terms of the R matrix introduced to give a unitary representation of the infinite-volume three-particle scattering amplitude. Combined with earlier work, this shows the equivalence of the relativistic effective field theory approach of Refs. [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)] and the “finite-volume unitarity” approach of Refs. [M. Mai and M. Döring, Eur. Phys. J. A 53, 240 (2017); M. Mai and M. Döring, Phys. Rev. Lett. 122, 062503 (2019)]. It also provides a generalization of the latter approach to arbitrary angular momenta of two-particle subsystems.

Research Organization:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0011637
OSTI ID:
1668118
Alternate ID(s):
OSTI ID: 1705739; OSTI ID: 1774029
Journal Information:
Physical Review. D., Vol. 102, Issue 5; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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