Digital Commons @ Trinity

Title

Green’s Functions and the Adiabatic Hyperspherical Method

Authors

Seth T. Rittenhouse
Nirav P. Mehta, Trinity UniversityFollow
Chris H. Greene

Document Type

Article

Publication Date

8-2010

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 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 ⁶Li atoms is presented.

Identifier

10.1103/PhysRevA.82.022706

Publisher

American Physical Society

Repository Citation

Rittenhouse, 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), 022706. doi: 10.1103/PhysRevA.82.022706

Publication Information

Physical Review A - Atomic, Molecular, and Optical Physics