Bellotti, F. F.Frederico, T.Yamashita, Marcelo Takeshi [UNESP]Fedorov, D. V.Jensen, A. S.Zinner, N. T.2014-05-272014-05-272013-03-14Journal of Physics B: Atomic, Molecular and Optical Physics, v. 46, n. 5, 2013.0953-40751361-6455http://hdl.handle.net/11449/74828We consider three-body systems in two dimensions with zero-range interactions for general masses and interaction strengths. The momentum-space Schrödinger equation is solved numerically and in the Born-Oppenheimer (BO) approximation. The BO expression is derived using separable potentials and yields a concise adiabatic potential between the two heavy particles. The BO potential is Coulomb-like and exponentially decreasing at small and large distances, respectively. While we find similar qualitative features to previous studies, we find important quantitative differences. Our results demonstrate that mass-imbalanced systems that are accessible in the field of ultracold atomic gases can have a rich three-body bound state spectrum in two-dimensional geometries. Small light-heavy mass ratios increase the number of bound states. For 87Rb-87Rb-6Li and 133Cs- 133Cs-6Li we find respectively three and four bound states. © 2013 IOP Publishing Ltd.engAdiabatic potentialsBorn-Oppenheimer approximationBound stateBound-state spectrumDinger equationHeavy particlesInteraction strengthMass ratioQualitative featuresSeparable potentialThree bodyThree-body systemsTwo-dimensionTwo-dimensional geometryUltracold atomic gasZero range interactionLithiumRubidiumCesiumArtigo10.1088/0953-4075/46/5/055301WOS:000315193600005Acesso restrito2-s2.0-848741482303740639726545315