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Title: 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:
 [1];  [1];  [1]
  1. 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}
}