Efimov effect in a D-dimensional Born-Oppenheimer approach

dc.contributor.authorRosa, D. S. [UNESP]
dc.contributor.authorFrederico, T.
dc.contributor.authorKrein, G. [UNESP]
dc.contributor.authorYamashita, M. T. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionInstituto Tecnológico de Aeronáutica
dc.date.accessioned2019-10-06T16:13:33Z
dc.date.available2019-10-06T16:13:33Z
dc.date.issued2019-01-28
dc.description.abstractWe study a three-body system, formed by two identical heavy bosons and a light particle, in the Born-Oppenheimer approximation for an arbitrary dimension D. We restrict D to the interval 2 < D < 4, and derive the heavy-heavy D-dimensional effective potential proportional to 1/R 2 (R is the relative distance between the heavy particles), which is responsible for the Efimov effect. We found that the Efimov states disappear once the critical strength of the heavy-heavy effective potential 1/R 2 approaches the limit . We obtained the scaling function for the 133 Cs- 133 Cs- 6 Li system as the limit cycle of the correlation between the energies of two consecutive Efimov states as a function of D and the heavy-light binding energy E D 2 . In addition, we found that the energy of the (N + 1)th excited state reaches the two-body continuum independently of the dimension D when √E 2 D / E 2 (N) , where is the Nth excited three-body binding energy.en
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista UNESP, Rua Dr. Bento Teobaldo Ferraz, 271
dc.description.affiliationInstituto Tecnológico de Aeronáutica
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista UNESP, Rua Dr. Bento Teobaldo Ferraz, 271
dc.identifierhttp://dx.doi.org/10.1088/1361-6455/aaf346
dc.identifier.citationJournal of Physics B: Atomic, Molecular and Optical Physics, v. 52, n. 2, 2019.
dc.identifier.doi10.1088/1361-6455/aaf346
dc.identifier.issn1361-6455
dc.identifier.issn0953-4075
dc.identifier.scopus2-s2.0-85059854100
dc.identifier.urihttp://hdl.handle.net/11449/188608
dc.language.isoeng
dc.relation.ispartofJournal of Physics B: Atomic, Molecular and Optical Physics
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectcold atoms
dc.subjectEfimov effect
dc.subjectlow-dimensional systems
dc.subjectthree-body problem
dc.titleEfimov effect in a D-dimensional Born-Oppenheimer approachen
dc.typeArtigo
unesp.author.orcid0000-0003-1713-8578[3]
unesp.author.orcid0000-0002-2559-092X[4]

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