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A model search for Efimov states
Authors:S. Geltman
Affiliation:1. Department of Physics , University of Colorado , Boulder, Colorado 80309–0390, USA geltman@cips.colorado.edu
Abstract:A search for Efimov states is carried out in terms of a one-dimensional model three-body problem. A numerically exact solution is obtained that allows scanning through the resonance condition. No evidence is found for the existence of an infinite number of such bound three-body states. It is deduced from one-dimensional results that such an infinity of bound states should also not arise in a complete three-dimensional calculation.
Keywords:Efimov states  Three-body problem  Resonance condition  Three-dimensional calculation
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