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.
Green’s functions and the adiabatic hyperspherical methodPhysical Review A - Atomic, Molecular, and Optical Physics
Document Object Identifier (DOI)10.1103/PhysRevA.82.022706
Citation InformationRittenhouse, 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)