Three-Body Recombination in One Dimension
arXiv:quant-ph/0703127 · doi:10.1103/PhysRevA.76.022711
Abstract
We study the three-body problem in one dimension for both zero and finite range interactions using the adiabatic hyperspherical approach. Particular emphasis is placed on the threshold laws for recombination, which are derived for all combinations of the parity and exchange symmetries. For bosons, we provide a numerical demonstration of several universal features that appear in the three-body system, and discuss how certain universal features in three dimensions are different in one dimension. We show that the probability for inelastic processes vanishes as the range of the pair-wise interaction is taken to zero and demonstrate numerically that the recombination threshold law manifests itself for large scattering length.
15 pages 7 figures Submitted to Physical Review A
References in corpus (11)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Universality in Few-body Systems with Large Scattering Length
- Realization of Bose-Einstein condensates in lower dimensions
- Bose Einstein Condensate in a Box
- Observations of density fluctuations in an elongated Bose gas: ideal gas and quasi-condensate regimes
- Scattering Length Scaling Laws for Ultracold Three-Body Collisions
- Universal low-energy properties of three two-dimensional particles
- Manifestations of the Efimov Effect for Three Identical Bosons
- One-dimensional Bose chemistry: effects of non-integrability
- Three Bosons in One Dimension with Short Range Interactions I: Zero Range Potentials
- Low-energy operators in effective theories
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