Three-body recombination in one dimension
- JILA, University of Colorado, Boulder, Colorado 80309-0440 (United States)
- Department of Physics, Kansas State University, Manhattan, Kansas 66506 (United States)
- Department of Physics and JILA, University of Colorado, Boulder, Colorado 80309-0440 (United States)
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 pairwise interaction is taken to zero and demonstrate numerically that the recombination threshold law manifests itself for large scattering length.
- OSTI ID:
- 21011435
- Journal Information:
- Physical Review. A, Vol. 76, Issue 2; Other Information: DOI: 10.1103/PhysRevA.76.022711; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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