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Scaling and universality in two dimensions: three-body bound states with short-ranged interactions

dc.contributor.authorBellotti, F. F.
dc.contributor.authorFrederico, T.
dc.contributor.authorYamashita, Marcelo Takeshi [UNESP]
dc.contributor.authorFedorov, D. V.
dc.contributor.authorJensen, A. S.
dc.contributor.authorZinner, N. T.
dc.contributor.institutionInstituto Tecnológico de Aeronáutica (ITA)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionAarhus University (AU)
dc.date.accessioned2013-09-30T18:54:56Z
dc.date.accessioned2014-05-20T14:10:05Z
dc.date.available2013-09-30T18:54:56Z
dc.date.available2014-05-20T14:10:05Z
dc.date.issued2011-10-28
dc.description.abstractThe momentum space zero-range model is used to investigate universal properties of three interacting particles confined to two dimensions. The pertinent equations are first formulated for a system of two identical and one distinct particle and the two different two-body subsystems are characterized by two-body energies and masses. The three-body energy in units of one of the two-body energies is a universal function of the other two-body energy and the mass ratio. We derive convenient analytical formulae for calculations of the three-body energy as a function of these two independent parameters and exhibit the results as universal curves. In particular, we show that the three-body system can have any number of stable bound states. When the mass ratio of the distinct to identical particles is greater than 0.22, we find that at most two stable bound states exist, while for two heavy and one light mass an increasing number of bound states is possible. The specific number of stable bound states depends on the ratio of two-body bound state energies and on the mass ratio, and we map out an energy-mass phase diagram of the number of stable bound states. Realizable systems of both fermions and bosons are discussed in this framework.en
dc.description.affiliationDCTA, Inst Tecnol Aeronaut, BR-12228900 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, UNESP, BR-01156970 São Paulo, Brazil
dc.description.affiliationAarhus Univ, Dept Phys & Astron, DK-8000 Aarhus C, Denmark
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, UNESP, BR-01156970 São Paulo, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent11
dc.identifierhttp://dx.doi.org/10.1088/0953-4075/44/20/205302
dc.identifier.citationJournal of Physics B-atomic Molecular and Optical Physics. Bristol: Iop Publishing Ltd, v. 44, n. 20, p. 11, 2011.
dc.identifier.doi10.1088/0953-4075/44/20/205302
dc.identifier.issn0953-4075
dc.identifier.lattes3740639726545315
dc.identifier.urihttp://hdl.handle.net/11449/24250
dc.identifier.wosWOS:000295599500017
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofJournal of Physics B: Atomic, Molecular and Optical Physics
dc.relation.ispartofjcr2.119
dc.relation.ispartofsjr0,850
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleScaling and universality in two dimensions: three-body bound states with short-ranged interactionsen
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/info/page/openaccess
dcterms.rightsHolderIop Publishing Ltd
dspace.entity.typePublication
unesp.author.lattes3740639726545315
unesp.author.orcid0000-0002-2559-092X[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt

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