Hyperspherical Theory of Three-Body Recombination in Cold Collisions

Journal Article · Tue Aug 26 00:00:00 EDT 2003 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1619682· OSTI ID:20632555

Sternberg, James ^[1]; Macek, J H ^[1]

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1. Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996 (United States)

Three-body recombination in cold atomic collisions has been successfully modeled using the hyperspherical close-coupling theory. This representation maps many-body fragmentation channels onto simple radial equations similar to those for two-body processes. Computation of hyperspherical adiabatic energy eigenvalues is a major task using this theory. We have developed asymptotic representations of the adiabatic eigenvalues based upon energy dependent zero-range potentials. Our asymptotic expressions are compared with ab initio calculations as well as hyperspherical adiabatic calculations using zero range potentials with constant M that have appeared in the literature.

• OSTI ID: 20632555
• Journal Information: AIP Conference Proceedings, Vol. 680, Issue 1; Conference: 17. international conference on the application of accelerators in research and industry, Denton, TX (United States), 12-16 Nov 2002; Other Information: DOI: 10.1063/1.1619682; (c) 2003 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOM COLLISIONS
COUPLING
EIGENVALUES
ENERGY DEPENDENCE
NUCLEAR FRAGMENTATION
POTENTIALS
RECOMBINATION
THREE-BODY PROBLEM
TWO-BODY PROBLEM