Four-Boson Continuous Scale Symmetry Breaking

Detalhes bibliográficos
Autor(a) principal: Frederico, T.
Data de Publicação: 2019
Outros Autores: Paula, W. de, Delfino, A., Yamashita, M. T. [UNESP], Tomio, Lauro [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s00601-019-1514-z
http://hdl.handle.net/11449/185762
Resumo: We show that the homogeneous Faddeev-Yakubovski formalism for the bound state of four identical bosons with zero-range interaction in the unitary limit (infinite two-body scattering length) presents scale invariance in the ultraviolet (UV) region. By resorting to an approximate form of the integral equations in the UV limit (considering exclusively an attractive pairwise zero-range interaction), we demonstrate that a pair of log-periodic solutions, with a cycle distinct from the three-boson one, exists with a four-body scale required to define the phase between them.
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spelling Four-Boson Continuous Scale Symmetry BreakingWe show that the homogeneous Faddeev-Yakubovski formalism for the bound state of four identical bosons with zero-range interaction in the unitary limit (infinite two-body scattering length) presents scale invariance in the ultraviolet (UV) region. By resorting to an approximate form of the integral equations in the UV limit (considering exclusively an attractive pairwise zero-range interaction), we demonstrate that a pair of log-periodic solutions, with a cycle distinct from the three-boson one, exists with a four-body scale required to define the phase between them.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Inst Tecnol Aeronaut, DCTA, BR-12228900 Sao Jose Dos Campos, BrazilUniv Fed Fluminense, Inst Fis, BR-24210900 Niteroi, RJ, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01405900 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01405900 Sao Paulo, BrazilCNPq: 313236/2018-6CNPq: 438562/2018-6CNPq: 310205/2017-4CNPq: 308486/2015-3CNPq: 306191/2014-8CNPq: 302075/2016-0CNPq: .464898/2014-5FAPESP: 2017/05660-0FAPESP: 2016/01816-2CAPES: 88881.030363/2013-01CAPES: 88881.309870/2018-01CAPES: 001SpringerInst Tecnol AeronautUniversidade do Estado do Rio de Janeiro (UERJ)Universidade Estadual Paulista (Unesp)Frederico, T.Paula, W. deDelfino, A.Yamashita, M. T. [UNESP]Tomio, Lauro [UNESP]2019-10-04T12:38:19Z2019-10-04T12:38:19Z2019-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article7http://dx.doi.org/10.1007/s00601-019-1514-zFew-body Systems. Wien: Springer Wien, v. 60, n. 2, 7 p., 2019.0177-7963http://hdl.handle.net/11449/18576210.1007/s00601-019-1514-zWOS:000469887500002Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFew-body Systemsinfo:eu-repo/semantics/openAccess2021-10-23T01:35:48Zoai:repositorio.unesp.br:11449/185762Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:06:35.775290Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Four-Boson Continuous Scale Symmetry Breaking
title Four-Boson Continuous Scale Symmetry Breaking
spellingShingle Four-Boson Continuous Scale Symmetry Breaking
Frederico, T.
title_short Four-Boson Continuous Scale Symmetry Breaking
title_full Four-Boson Continuous Scale Symmetry Breaking
title_fullStr Four-Boson Continuous Scale Symmetry Breaking
title_full_unstemmed Four-Boson Continuous Scale Symmetry Breaking
title_sort Four-Boson Continuous Scale Symmetry Breaking
author Frederico, T.
author_facet Frederico, T.
Paula, W. de
Delfino, A.
Yamashita, M. T. [UNESP]
Tomio, Lauro [UNESP]
author_role author
author2 Paula, W. de
Delfino, A.
Yamashita, M. T. [UNESP]
Tomio, Lauro [UNESP]
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Inst Tecnol Aeronaut
Universidade do Estado do Rio de Janeiro (UERJ)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Frederico, T.
Paula, W. de
Delfino, A.
Yamashita, M. T. [UNESP]
Tomio, Lauro [UNESP]
description We show that the homogeneous Faddeev-Yakubovski formalism for the bound state of four identical bosons with zero-range interaction in the unitary limit (infinite two-body scattering length) presents scale invariance in the ultraviolet (UV) region. By resorting to an approximate form of the integral equations in the UV limit (considering exclusively an attractive pairwise zero-range interaction), we demonstrate that a pair of log-periodic solutions, with a cycle distinct from the three-boson one, exists with a four-body scale required to define the phase between them.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-04T12:38:19Z
2019-10-04T12:38:19Z
2019-06-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s00601-019-1514-z
Few-body Systems. Wien: Springer Wien, v. 60, n. 2, 7 p., 2019.
0177-7963
http://hdl.handle.net/11449/185762
10.1007/s00601-019-1514-z
WOS:000469887500002
url http://dx.doi.org/10.1007/s00601-019-1514-z
http://hdl.handle.net/11449/185762
identifier_str_mv Few-body Systems. Wien: Springer Wien, v. 60, n. 2, 7 p., 2019.
0177-7963
10.1007/s00601-019-1514-z
WOS:000469887500002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Few-body Systems
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 7
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129020810756096

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