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Green’s functions and the adiabatic hyperspherical method
Physical Review A - Atomic, Molecular, and Optical Physics
  • Seth T Rittenhouse
  • Nirav P Mehta, Trinity University
  • Chris H Greene
Document Type
Article
Publication Date
8-1-2010
Abstract

We address the few-body problem using the adiabatic hyperspherical representation. A general form for the hyperangular Green’s function in d dimensions is derived. The resulting Lippmann-Schwinger equation is solved for the case of three particles with s-wave zero-range interactions. Identical particle symmetry is incorporated in a general and intuitive way. Complete semianalytic expressions for the nonadiabatic channel couplings are derived. Finally, a model to describe the atom loss due to three-body recombination for a three-component Fermi gas of Li6 atoms is presented.

Comments
© 2010 The American Physical Society
Required Publisher Statement
© 2010 The American Physical Society
Document Object Identifier (DOI)
10.1103/PhysRevA.82.022706
Citation Information
Rittenhouse, S. T., Mehta, N. P., & Greene, C. H. (2010). "Green's functions and the adiabatic hyperspherical method." Physical Review A - Atomic, Molecular, and Optical Physics, 82(2)