Green's Functions and the Adiabatic Hyperspherical Method

Details Green's Functions and the Adiabatic Hyperspherical Method Green's Functions and the Adiabatic Hyperspherical Method

2010-05-17

arxiv.org/abs/1005.2911v1

Physics

Atomic Physics

14 pages, 8 figures, 2 tables

Scientific paper

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 semi-analytic 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 $^{6}$Li atoms is presented.

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