Triatomic continuum resonances for large negative scattering lengths

Abstract

We study triatomic systems in the regime of large negative scattering lengths which may be more favorable for the formation of condensed trimers in trapped ultracold monoatomic gases as the competition with the weakly bound dimers is absent. The manipulation of the scattering length can turn an excited weakly bound Efimov trimer into a continuum resonance. Its energy and width are described by universal scaling functions written in terms of the scattering length and the binding energy, $B_3$, of the shallowest triatomic molecule. For $a^{-1}<-0.0297\sqrt{m{B}_3/{\hslash }^2}$ the excited Efimov state turns into a continuum resonance.

arXiv comment4 pages, 4 figures

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• Universality of Brunnian ($N$-body Borromean) four and five-body systems
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• Neutron${-}^{19}$C scattering near an Efimov state
• Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems
• Three-boson recombination at ultralow temperatures
• Three-body resonances in pionless effective field theory
• Finite-temperature effects on a triatomic Efimov resonance in ultracold cesium
• Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"
• Universality in Four-Boson Systems
• Probing the Efimov discrete scaling in atom-molecule collision
• Universal physics of three bosons with isospin
• Effective range from tetramer dissociation data for cesium atoms
• Structure of exotic three-body systems
• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na
• Trajectory of virtual, bound and resonant Efimov states
• Energies and widths of Efimov states in the three-boson continuum
• Perspectives on few-body cluster structures in exotic nuclei
• Scattering of cold ${}^4$He on ${}^4$He${-}^{6,7}$Li and ${}^4$He${-}^{23}$Na molecules
• Emergence of N-body tunable interactions in universal few-atom system
• Efimov resonances above four-boson threshold
• Two- and three- dimensional few-body systems in the universal regime
• Short-distance production of three particles with large scattering length