Equivalence of relativistic three-particle quantization conditions

Blanton, Tyler D.; Sharpe, Stephen R.

doi:10.1103/physrevd.102.054515

Title: Equivalence of relativistic three-particle quantization conditions

Journal Article · 28 September 2020 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.102.054515 · OSTI ID:1668118

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Univ. of Washington, Seattle, WA (United States)

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.

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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

References (36)

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