Calculations of recombination rates for cold {sup 4}He atoms from atom-dimer phase shifts and determination of universal scaling functions

Journal Article · Fri Jun 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.062713· OSTI ID:20991148

Shepard, J R ^[1]

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1. Department of Physics, University of Colorado, Boulder, Colorado 80309 (United States)

Three-body recombination rates for cold {sup 4}He are calculated with a method which exploits the simple relationship between the imaginary part of the atom-dimer elastic scattering phase shift and the S-matrix for recombination. The elastic phase shifts are computed above breakup threshold by solving a three-body Faddeev equation in momentum space with inputs based on a variety of modern atom-atom potentials. Recombination coefficients for the HFD-B3-FCII potential agree very well with the only previously published results. Since the elastic scattering and recombination processes for {sup 4}He are governed by 'Efimov physics', they depend on universal functions of a scaling variable. The computed recombination coefficients for potentials other than HFD-B3-FCII make it possible to determine these universal functions.

• OSTI ID: 20991148
• Journal Information: Physical Review. A, Vol. 75, Issue 6; Other Information: DOI: 10.1103/PhysRevA.75.062713; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOM-ATOM COLLISIONS
ATOM-MOLECULE COLLISIONS
ATOMS
COMPUTER CALCULATIONS
DIMERS
ELASTIC SCATTERING
EXCITED STATES
FADDEEV EQUATIONS
HELIUM 4
IONS
PHASE SHIFT
PHOTON-ATOM COLLISIONS
POTENTIAL ENERGY
POTENTIALS
RECOMBINATION
S MATRIX
SCALING
TEMPERATURE RANGE 0000-0013 K
THREE-BODY PROBLEM