Green's functions and the adiabatic hyperspherical method

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.022706· OSTI ID:21448503

Rittenhouse, Seth T ^[1]; Mehta, N P ^[1]; Greene, Chris H ^[1]

---

1. Department of Physics and Joint Institute for Laboratory Astrophysics (JILA), University of Colorado, Boulder, Colorado 80309 (United States)

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 {sup 6}Li atoms is presented.

• OSTI ID: 21448503
• Journal Information: Physical Review. A, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevA.82.022706; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
FERMI GAS
GREEN FUNCTION
LIPPMANN-SCHWINGER EQUATION
LITHIUM 6
RECOMBINATION
S WAVES
THREE-BODY PROBLEM
EQUATIONS
FUNCTIONS
INTEGRAL EQUATIONS
ISOTOPES
LIGHT NUCLEI
LITHIUM ISOTOPES
MANY-BODY PROBLEM
NUCLEI
ODD-ODD NUCLEI
PARTIAL WAVES
STABLE ISOTOPES