Four-Boson Continuous Scale Symmetry Breaking
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , , |
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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Repositório Institucional da UNESP |
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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 |