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arXiv · 1005.2911

Green's Functions and the Adiabatic Hyperspherical Method

Seth T. Rittenhouse·N. P. Mehta·Chris H. Greene
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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 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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Seth T. Rittenhouse, N. P. Mehta, Chris H. Greene. 2010-05-17. Green's Functions and the Adiabatic Hyperspherical Method. https://doi.org/10.1103/physreva.82.022706

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