Universal three-body parameter of heavy-heavy-light systems with a negative intraspecies scattering length

Abstract

The three-body parameter (3BP) a (1) − is crucial for understanding Efimov physics, and a universal 3BP has been shown in experiments and theory in ultracold homonuclear gases. The 3BP of heteronuclear systems has been predicted to possess much richer properties than its homonuclear counterparts due to the larger parameter space. In this work, we investigate the universal properties of a (1) − for heavy-heavy-light (HHL) systems with a 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. A linear fit of a (1) − for large a HH leads to a simple formula, which gives the general dependence of a (1) − on the mass ratio and the vdW length r vdW,HL . In a special case, when the two heavy atoms are in resonance, a (1) − is approximately constant: a (1) − = −(6.3 ± 0.6) r vdW,HL . * huilihan@wipm.ac.cn 1 arXiv:1903.09565v3 [cond-mat.quant-gas]

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Asymmetric Lineshapes of Efimov Resonances in Mass-Imbalanced Ultracold Gases

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Asymmetric lineshapes of Efimov resonances in mass-imbalanced ultracold gases

“…Apart from that, mass-imbalanced ensembles offer a large parameter space, such as the particles' mass-ratio, the sign and magnitude of the interand intra-species scattering lengths, which provide fertile ground to investigate pristine attributes of the Efimov states. Specifically, theoretical and experimental efforts have mapped out a large portion of the parameter space addressing the underlying physics of recombination processes in heavy-heavy-light (HHL) systems [27,28,[30][31][32][33]. The particular case which stands out corresponds to HHL systems that possess inter-and intraspecies scattering lengths of opposite sign, i.e.…”