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Title: Equivalence of relativistic three-particle quantization conditions

Abstract

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 Hansen and Sharpe (Refs.[1,2]) and the "finite-volume unitarity" approach of Mai and Döring (Refs.[3,4]). It also provides a generalization of the latter approach to arbitrary angular momenta of two-particle subsystems.

Authors:
ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1668118
Alternate Identifier(s):
OSTI ID: 1705739; OSTI ID: 1774029
Grant/Contract Number:  
SC0011637
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 5; 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; effective field theory; few-body systems; lattice field theory; nuclear physics; particles & fields

Citation Formats

Blanton, Tyler D., and Sharpe, Stephen R. Equivalence of relativistic three-particle quantization conditions. United States: N. p., 2020. Web. https://doi.org/10.1103/physrevd.102.054515.
Blanton, Tyler D., & Sharpe, Stephen R. Equivalence of relativistic three-particle quantization conditions. United States. https://doi.org/10.1103/physrevd.102.054515
Blanton, Tyler D., and Sharpe, Stephen R. Mon . "Equivalence of relativistic three-particle quantization conditions". United States. https://doi.org/10.1103/physrevd.102.054515.
@article{osti_1668118,
title = {Equivalence of relativistic three-particle quantization conditions},
author = {Blanton, Tyler D. and Sharpe, Stephen R.},
abstractNote = {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 Hansen and Sharpe (Refs.[1,2]) and the "finite-volume unitarity" approach of Mai and Döring (Refs.[3,4]). It also provides a generalization of the latter approach to arbitrary angular momenta of two-particle subsystems.},
doi = {10.1103/physrevd.102.054515},
journal = {Physical Review D},
number = 5,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/physrevd.102.054515

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Works referenced in this record:

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