Green's Functions and the Adiabatic Hyperspherical Method
Atomic Physics
2015-05-19 v1
Abstract
We address the few-body problem using the adiabatic hyperspherical representation. A general form for the hyperangular Green's function in -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 Li atoms is presented.
Keywords
Cite
@article{arxiv.1005.2911,
title = {Green's Functions and the Adiabatic Hyperspherical Method},
author = {Seth T. Rittenhouse and N. P. Mehta and Chris H. Greene},
journal= {arXiv preprint arXiv:1005.2911},
year = {2015}
}
Comments
14 pages, 8 figures, 2 tables