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

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorBellotti, F. F.
dc.creatorFrederico, T.
dc.creatorYamashita, Marcelo Takeshi
dc.creatorFedorov, D. V.
dc.creatorJensen, A. S.
dc.creatorZinner, N. T.
dc.date2013-09-30T18:54:56Z
dc.date2014-05-20T14:10:05Z
dc.date2016-10-25T17:19:37Z
dc.date2013-09-30T18:54:56Z
dc.date2014-05-20T14:10:05Z
dc.date2016-10-25T17:19:37Z
dc.date2011-10-28
dc.date.accessioned2017-04-05T21:53:53Z
dc.date.available2017-04-05T21:53:53Z
dc.identifierJournal of Physics B-atomic Molecular and Optical Physics. Bristol: Iop Publishing Ltd, v. 44, n. 20, p. 11, 2011.
dc.identifier0953-4075
dc.identifierhttp://hdl.handle.net/11449/24250
dc.identifierhttp://acervodigital.unesp.br/handle/11449/24250
dc.identifier10.1088/0953-4075/44/20/205302
dc.identifierWOS:000295599500017
dc.identifierhttp://dx.doi.org/10.1088/0953-4075/44/20/205302
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/869229
dc.descriptionThe 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.
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.languageeng
dc.publisherIop Publishing Ltd
dc.relationJournal of Physics B: Atomic, Molecular and Optical Physics
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleScaling and universality in two dimensions: three-body bound states with short-ranged interactions
dc.typeOtro


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