Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Physical Sciences and Mathematics
Green’S Functions And The Adiabatic Hyperspherical Method, Seth Rittenhouse, Nirav Mehta, Chris Greene
Green’S Functions And The Adiabatic Hyperspherical Method, Seth Rittenhouse, Nirav Mehta, Chris Greene
Nirav P Mehta
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.