Mass-imbalanced Three-Body Systems in Two Dimensions

Abstract

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 3 and 4 bound states.

17 pages, 8 figures, revised version

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• Radio Frequency Association of Efimov Trimers
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Quantum fluids of self-assembled chains of polar molecules
• Two-dimensional scattering and bound states of polar molecules in bilayers
• Evanescent-wave trapping and evaporative cooling of an atomic gas near two-dimensionality
• Efimov Physics and the Three-Body Parameter within a Two-Channel Framework
• Model independence in two dimensions and polarized cold dipolar molecules
• Universal three-body parameter in ultracold 4He*
• Dimensional Effects on the Momentum distribution of Bosonic Trimer States

Cited by in corpus (6)

• Comparing and contrasting nuclei and cold atomic gases
• Weakly bound states of two- and three-boson systems in the crossover from two to three dimension
• Adiabatic Hyperspherical Representation for the Three-body Problem in Two Dimensions
• Mass-imbalanced Three-body Systems in 2D: bound states and the analytical approach to the adiabatic potential
• Universality of three-body systems in 2D: parametrization of the bound states energies
• Two- and three- dimensional few-body systems in the universal regime