Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror
arXiv:1201.6014 · doi:10.1103/PhysRevLett.109.020401
Abstract
Some novel TWO-body effects analogous to the well-known THREE-body Efimov effect are predicted. In the systems considered, particle A is constrained on a TRUNCATED or BENT one-dimensional line or two-dimensional plane, or on one side of a flat mirror in three dimensions (3D). The constraining potential is fine-tuned such that particle A's ground state wave function is a constant in the region in which it is constrained. Particle B moves in 3D and interacts with particle A resonantly. An infinite sequence of giant two-body bound states are found in each case.
5 pages, 2 figures
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- Enhancing Kondo Coupling in Alkaline-Earth Atomic Gases with Confinement-induced Resonances in Mixed Dimensions
- Universal physics of bound states of a few charged particles
- Pair condensation in a Finite Trapped Fermi Gas
- Tight-Binding Kondo Model and Spin-Exchange Collision Rate of Alkaline-Earth Atoms in a Mixed-Dimensional Optical Lattice
- Universality in s-wave and higher partial wave Feshbach resonances: an illustration with a single atom near two scattering centers
- Phase Equilibrium of Binary Mixtures in Mixed Dimensions