Efimov Physics and the Three-Body Parameter within a Two-Channel Framework

Abstract

We calculate shallow three-body bound states in the universal regime, defined by Efimov, with inclusion of both scattering length and effective range parameters. The universal spectrum is recovered for the least bound states, whereas for larger binding energies we find corrections to the universal scaling laws. We recover known results for broad Feshbach resonances with small effective range, whereas in the case of narrow resonances we find a distinct non-monotonic behavior of the threshold at which the lowest Efimov trimer merges with the three-body continuum. To address the issue of the physical origin of the three-body parameter we provide a physically clear model for the relation between three-body physics and typical two-body atom-atom interactions. Our results demonstrate that experimental information from narrow Feshbach resonances and/or mixed systems are of vital importance to pin down the relation of two- and three-body physics in atomic systems.

6 pages, 6 figures, 1 appendix, accepted version

References in corpus (13)

• Feshbach Resonances in Ultracold Gases
• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Observation of an Efimov spectrum in an atomic system
• Universality in Three- and Four-Body Bound States of Ultracold Atoms
• Contact Measurements on Atomic BEC
• Observation of universality in ultracold 7Li three-body recombination
• Universality of the Three-Body Parameter for Efimov States in Ultracold Cesium
• Origin of the Three-body Parameter Universality in Efimov Physics
• Nuclear-spin-independent short-range three-body physics in ultracold atoms
• Universality and the three-body parameter of helium-4 trimers
• Square-well solution to the three-body problem
• Three-body recombination rates near a Feshbach resonance within a two-channel contact interaction model

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