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.
- 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. doi: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}
}
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