Journal
EUROPEAN PHYSICAL JOURNAL B
Volume 85, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1140/epjb/e2012-30841-3
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Funding
- DFG [FOR 801]
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We provide an exact solution of the Efimov spectrum in ultracold gases within the standard two-channel model for Feshbach resonances. It is shown that the finite range in the Feshbach coupling makes the introduction of an adjustable three-body parameter obsolete. The solution explains the empirical relation between the scattering length a(-) where the first Efimov state appears at the atom threshold and the van der Waals length l(vdw) for open-channel dominated resonances. There is a continuous crossover to the closed-channel dominated limit, where the scale in the energy level diagram as a function of the inverse scattering length 1/a is set by the intrinsic length r(star) associated with the Feshbach coupling. Our results provide a number of predictions for the deviations from universal scaling relations between energies and scattering lengths that can be tested in future experiments.
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