Universal Three-Body Parameter of Heavy-Heavy-Light systems with negative intraspecies scattering length

Abstract

The Three-Body Parameter(3BP) $a_{-}^{(1)}$ is crucial to understanding Efimov physics, and a universal 3BP has been shown in experiments and theory in ultracold homonuclear gases. The 3BP of heteronuclear systems was predicted to possess much richer properties than the homonuclear counterparts for the large parameter space. In this work, we investigate the universal properties of $a_{-}^{(1)}$ for the Heavy-Heavy-Light(HHL) system with negative intraspecies scattering length $a_{HH}$. We find that $a_{-}^{(1)}$ follows a universal behavior determined by the van der Waals(vdW) interaction and the mass ratio. An analytic formula of $a_{-}^{(1)}$ is given as a function of $a_{HH}$, which allows an intuitive understanding of how does $a_{-}^{(1)}$ depend on the mass ratio and the vdW length $r_{vdW}$. In a special case, when the two heavy atoms are in resonance, $a_{-}^{(1)}$ is approximately a constant: $a_{-}^{(1)}=-(6.3\pm 0.6)r_{vdW,HL}$.

References in corpus (23)

• Observation of an Efimov spectrum in an atomic system
• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Observation of universality in ultracold 7Li three-body recombination
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Observation of heteronuclear atomic Efimov resonances
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Radio Frequency Association of Efimov Trimers
• Universal three-body parameter in heteronuclear atomic systems
• Microscopic Origin and Universality Classes of the Efimov Three-Body Parameter
• Testing universality of Efimov physics across broad and narrow Feshbach resonances
• Accurate near-threshold model for ultracold KRb dimers from interisotope Feshbach spectroscopy
• Efimov Physics and the Three-Body Parameter within a Two-Channel Framework
• Heteronuclear Efimov scenario with positive intraspecies scattering length
• Feshbach resonances in ultracold 85Rb
• Role of the intraspecies scattering length in the Efimov scenario with large mass difference
• Universality of weakly bound dimers and Efimov trimers close to Li-Cs Feshbach resonances
• Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
• Looking for "avalanche-mechanism" loss at an atom-molecule Efimov resonance
• The three-body parameter for Efimov states in lithium-6
• Broad Feshbach resonances in ultracold alkali-metal systems
• Ultracold heteronuclear three-body systems: How diabaticity limits the universality of recombination into shallow dimers
• Observability of the Efimov spectrum in an electron-atom-atom system

Cited by in corpus (4)

• Efimov resonance position near a narrow Feshbach resonance in ${}^6$Li-${}^{133}$Cs mixture
• Asymmetric lineshapes of Efimov resonances in mass-imbalanced ultracold gases
• Observable Resonances in Efimov-unfavored Systems
• Three-body recombination near the d-wave resonance in ultracold ${}^{85}$Rb\,-${}^{87}$Rb mixtures