The universality of the Efimov three-body parameter

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 $a_{-}/r_{\mathrm{vdW}}$, where $r_{\mathrm{vdW}}$ 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.

5 pages, 2 figures; Presented at the 20th International IUPAP Conference on Few-Body Problems in Physics, 20 - 25 August, 2012, Fukuoka, Japan

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Cited by in corpus (5)

• Few-body physics in resonantly interacting ultracold quantum gases
• Efimov-van-der-Waals universality for ultracold atoms with positive scattering lengths
• Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
• Rydberg optical Feshbach resonances in cold gases
• Window for Efimov physics for few-body systems with finite-range interactions