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The Universality of the Efimov Three-body Parameter
Authors:J. P. D’Incao  J. Wang  B. D. Esry  C. H. Greene
Affiliation:1. Department of Physics and JILA, University of Colorado, Boulder, CO, 80309, USA
2. Department of Physics, University of Connecticut, Storrs, CT, 06269, USA
3. Department of Physics, Kansas State University, Manhattan, KS, 66506, USA
4. Department of Physics, Purdue University, West Lafayette, IN, 47907, USA
Abstract:In this paper we discuss the recent discovery of the universality of the three-body parameter (3BP) from Efimov physics. This new result was identified by recent experimental observations in ultracold quantum gases where the value of the s-wave scattering length, a = a ?, at which the first Efimov resonance is created was found to be nearly the same for a range of atomic species — if scaled as a ?/r vdW, where r vdW is the van der Waals length. Here, we discuss some of the physical principles related to these observations that emerge from solving the three-body problem with van der Waals interactions in the hyperspherical formalism. We also demonstrate the strong three-body multichannel nature of the problem and the importance of properly accounting for nonadiabatic effects.
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