2012/11/30 by F. F. Bellotti, T. Frederico, M. T. Yamashita +3
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Geography #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #cond-mat.quant-gas #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/0953-4075/46/5/055301
published as J. Phys. B: At. Mol. Opt. Phys. 46, 055301 (2013) · 17 pages, 8 figures, revised version
arxiv created 2013/02/12 · openalex publication_date 2013/02/12 · arxiv updated 2013/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.