Three-Body Recombination in One Dimension

Details Three-Body Recombination in One Dimension Three-Body Recombination in One Dimension

2007-03-15

arxiv.org/abs/quant-ph/0703127v1

Physics

Quantum Physics

15 pages 7 figures Submitted to Physical Review A

Scientific paper

10.1103/PhysRevA.76.022711

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.

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