Universality Constraints on Three-Body Recombination for Cold Atoms: from 4He to 133Cs

Abstract

For atoms with large scattering length, the dependence of the 3-body recombination rate on the collision energy is determined by the scattering length and the Efimov 3-body parameters and can be expressed in terms of universal functions of a single scaling variable. We use published results on the 3-body recombination rate for 4He atoms to constrain the universal functions. We then use those universal functions to calculate the 3-body recombination rate for other atoms with large scattering length at nonzero temperature. The constraints from the 4He results are strong if the scattering length is near the minimum of the 3-body recombination rate at threshold. We apply our results to 133Cs atoms with a large positive scattering length, and compare them with experimental results from the Innsbruck group.

arXiv comment17 pages, 6 eps figures

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Cited by in corpus (9)

• Few-body physics in resonantly interacting ultracold quantum gases
• Three-Body Recombination of Identical Bosons with a Large Positive Scattering Length at Nonzero Temperature
• The ^4He trimer as an Efimov system
• Beyond universality in three-body recombination: an Effective Field Theory treatment
• Efimov physics with $1/2$ spin-isospin fermions
• Efimov physics and the three-body parameter for shallow van der Waals potentials
• Universal three-body physics at finite energy near Feshbach resonances
• Scaling functions applied to three-body recombination of Cesium-133 atoms
• Universality in Few-Body Systems