Mass-imbalanced three-body systems in two dimensions
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IOP Publishing
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We 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.
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Adiabatic potentials , Born-Oppenheimer approximation , Bound state , Bound-state spectrum , Dinger equation , Heavy particles , Interaction strength , Mass ratio , Qualitative features , Separable potential , Three body , Three-body systems , Two-dimension , Two-dimensional geometry , Ultracold atomic gas , Zero range interaction , Lithium , Rubidium , Cesium
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Journal of Physics B: Atomic, Molecular and Optical Physics, v. 46, n. 5, 2013.
