Green's functions and the adiabatic hyperspherical method
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 {sup 6}Li atoms is presented.
- Authors:
-
- Department of Physics and Joint Institute for Laboratory Astrophysics (JILA), University of Colorado, Boulder, Colorado 80309 (United States)
- Publication Date:
- OSTI Identifier:
- 21448503
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. A
- Additional Journal Information:
- Journal Volume: 82; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.82.022706; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 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
Citation Formats
Rittenhouse, Seth T, Institute for Theoretical Atomic, and Molecular Physics, Mehta, N P, Department of Physics, Grinnell College, Grinnell, Iowa 50112, and Greene, Chris H. Green's functions and the adiabatic hyperspherical method. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVA.82.022706.
Rittenhouse, Seth T, Institute for Theoretical Atomic, and Molecular Physics, Mehta, N P, Department of Physics, Grinnell College, Grinnell, Iowa 50112, & Greene, Chris H. Green's functions and the adiabatic hyperspherical method. United States. https://doi.org/10.1103/PHYSREVA.82.022706
Rittenhouse, Seth T, Institute for Theoretical Atomic, and Molecular Physics, Mehta, N P, Department of Physics, Grinnell College, Grinnell, Iowa 50112, and Greene, Chris H. 2010.
"Green's functions and the adiabatic hyperspherical method". United States. https://doi.org/10.1103/PHYSREVA.82.022706.
@article{osti_21448503,
title = {Green's functions and the adiabatic hyperspherical method},
author = {Rittenhouse, Seth T and Institute for Theoretical Atomic, and Molecular Physics and Mehta, N P and Department of Physics, Grinnell College, Grinnell, Iowa 50112 and Greene, Chris H},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.82.022706},
url = {https://www.osti.gov/biblio/21448503},
journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 82,
place = {United States},
year = {Sun Aug 15 00:00:00 EDT 2010},
month = {Sun Aug 15 00:00:00 EDT 2010}
}
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.