Universal three-body physics at finite energy near Feshbach resonances

Abstract

We find that universal three-body physics extends beyond the threshold regime to non-zero energies. For ultracold atomic gases with a negative two-body $s$-wave scattering length near a Feshbach resonance, we show the resonant peaks characteristic of Efimov physics persist in three-body recombination to higher collision energies. For this and other inelastic processes, we use the adiabatic hyperspherical representation to derive universal analytical expressions for their dependence on the scattering length, the collision energy, and --- for narrow resonances --- the effective range. These expressions are supported by full numerical solutions of the Schrödinger equation and display log-periodic dependence on energy characteristic of Efimov physics. This dependence is robust and might be used to experimentally observe several Efimov features.

16 pages, 6 figures

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Cited by in corpus (10)

• Geometric scaling of Efimov states in a ${}^6\text{Li}$-${}^{133}\text{Cs}$ mixture
• Feshbach resonances in $p$-wave three-body recombination within Fermi-Fermi mixtures of open-shell ${}^6$Li and closed-shell ${}^{173}$Yb atoms
• Three-body recombination in heteronuclear mixtures at finite temperature
• Effective-range approximations for resonant scattering of cold atoms
• Role of the intraspecies scattering length in the Efimov scenario with large mass difference
• Cold, anisotropically-interacting van der Waals molecule: TiHe
• Energies and widths of Efimov states in the three-boson continuum
• Efimov physics in the complex plane
• Spin critical opalescence in zero temperature Bose-Einstein Condensates
• Photo Reactions with Universal Trimers