Equivalence of three-particle scattering formalisms

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dc.contributor.authorJackura, A.
dc.contributor.authorDawid, S. M.
dc.contributor.authorFernández Ramírez, C.
dc.contributor.authorMathieu, Vincent
dc.contributor.authorMikhasenko, M.
dc.contributor.authorPilloni, A.
dc.contributor.authorSharpe, S. R.
dc.contributor.authorSzczepaniak, A. P.
dc.date.accessioned2023-06-17T12:44:28Z
dc.date.available2023-06-17T12:44:28Z
dc.date.issued2019-08-13
dc.description.abstractIn 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 [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015).] and subsequently Briceño et al. in [R. A. Briceño, M. T. Hansen, and S. R. Sharpe, Phys. Rev. D 95, 074510 (2017).] can be recovered from the B -matrix representation, derived on the basis of S -matrix unitarity, presented by Mai et al. in [M. Mai, B. Hu, M. Döring, A. Pilloni, and A. Szczepaniak, Eur. Phys. J. A 53, 177 (2017).] and Jackura et al. in [A. Jackura, C. Fernández-Ramírez, V. Mathieu, M. Mikhasenko, J. Nys, A. Pilloni, K. Saldaña, N. Sherrill, and A. P. Szczepaniak (JPAC Collaboration), Eur. Phys. J. C 79, 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 nonrelativistic limit of both representations.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipU.S. Department of Energy
dc.description.sponsorshipU.S. National Science Foundation
dc.description.sponsorshipCONACYT (Mexico)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/74439
dc.identifier.doi10.1103/PhysRevD.100.034508
dc.identifier.issn2470-0010
dc.identifier.officialurlhttps://doi.org/10.1103/PhysRevD.100.034508
dc.identifier.urihttps://hdl.handle.net/20.500.14352/12875
dc.issue.number3
dc.journal.titlePhysical Review D
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectIDNo. DE-SC0011637 (S. R. S.), No. DE-AC05-06OR23177, and No. DE-FG02- 87ER40365,
dc.relation.projectIDNo. PHY-1415459, PAPIIT-DGAPA (UNAM, Mexico) Grant No. IA101819
dc.relation.projectIDNo. 251817 and No. A1-S-21389.
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.ucmFísica matemática
dc.subject.ucmPartículas
dc.subject.unesco2208 Nucleónica
dc.titleEquivalence of three-particle scattering formalisms
dc.typejournal article
dc.volume.number100
dspace.entity.typePublication
relation.isAuthorOfPublication17de49b7-46a8-4bce-b8df-ee29abc569d8
relation.isAuthorOfPublication.latestForDiscovery17de49b7-46a8-4bce-b8df-ee29abc569d8
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