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Title: Equivalence of three-particle scattering formalisms

Abstract

In recent years, different on-shell 3→3 scattering formalisms have been proposed to be applied to both lattice QCD and infinite volume scattering processes. We prove that the formulation in the infinite volume presented by Hansen and Sharpe in Phys.~Rev.~D92, 114509 (2015) and subsequently Briceño, Hansen, and Sharpe in Phys.~Rev.~D95, 074510 (2017) can be recovered from the B-matrix representation, derived on the basis of S-matrix unitarity, presented by Mai {\em et al.} in Eur.~Phys.~J.~A53, 177 (2017) and Jackura {\em et al.} in Eur.~Phys.~J.~C79, 56 (2019). Therefore, both formalisms in the infinite volume are equivalent and the physical content is identical. Additionally, the Faddeev equations are recovered in the non-relativistic limit of both representations.

Authors:
; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
Contributing Org.:
Joint Physics Analysis Center
OSTI Identifier:
1557359
Alternate Identifier(s):
OSTI ID: 1557621; OSTI ID: 1595143
Report Number(s):
JLAB-THY-19-2947; DOE/OR/23177-4683; arXiv:1905.12007
Journal ID: ISSN 2470-0010; PRVDAQ; 034508
Grant/Contract Number:  
SC0011637; AC05-06OR23177; FG02-87ER40365; PHY-1415459; IA101819; 251817; A1-S-21389
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 3; 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; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Lattice QCD; Particles & Fields; Nuclear Physics

Citation Formats

Jackura, A. W., Dawid, S. M., Fernández-Ramírez, C., Mathieu, V., Mikhasenko, M., Pilloni, A., Sharpe, S. R., Szczepaniak, A. P., and Joint Physics Analysis Center. Equivalence of three-particle scattering formalisms. United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevD.100.034508.
Jackura, A. W., Dawid, S. M., Fernández-Ramírez, C., Mathieu, V., Mikhasenko, M., Pilloni, A., Sharpe, S. R., Szczepaniak, A. P., & Joint Physics Analysis Center. Equivalence of three-particle scattering formalisms. United States. https://doi.org/10.1103/PhysRevD.100.034508
Jackura, A. W., Dawid, S. M., Fernández-Ramírez, C., Mathieu, V., Mikhasenko, M., Pilloni, A., Sharpe, S. R., Szczepaniak, A. P., and Joint Physics Analysis Center. Tue . "Equivalence of three-particle scattering formalisms". United States. https://doi.org/10.1103/PhysRevD.100.034508.
@article{osti_1557359,
title = {Equivalence of three-particle scattering formalisms},
author = {Jackura, A. W. and Dawid, S. M. and Fernández-Ramírez, C. and Mathieu, V. and Mikhasenko, M. and Pilloni, A. and Sharpe, S. R. and Szczepaniak, A. P. and Joint Physics Analysis Center},
abstractNote = {In recent years, different on-shell 3→3 scattering formalisms have been proposed to be applied to both lattice QCD and infinite volume scattering processes. We prove that the formulation in the infinite volume presented by Hansen and Sharpe in Phys.~Rev.~D92, 114509 (2015) and subsequently Briceño, Hansen, and Sharpe in Phys.~Rev.~D95, 074510 (2017) can be recovered from the B-matrix representation, derived on the basis of S-matrix unitarity, presented by Mai {\em et al.} in Eur.~Phys.~J.~A53, 177 (2017) and Jackura {\em et al.} in Eur.~Phys.~J.~C79, 56 (2019). Therefore, both formalisms in the infinite volume are equivalent and the physical content is identical. Additionally, the Faddeev equations are recovered in the non-relativistic limit of both representations.},
doi = {10.1103/PhysRevD.100.034508},
journal = {Physical Review D},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.100.034508

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Cited by: 7 works
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Works referenced in this record:

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    Works referencing / citing this record:

    Scattering amplitudes and contour deformations
    journal, November 2019


    Three-body unitarity versus finite-volume π + π + π + spectrum from lattice QCD
    journal, March 2020