Probing the Efimov discrete scaling in atom-molecule collision

Abstract

The discrete Efimov scaling behavior, well-known in the low-energy spectrum of three-body bound systems for large scattering lengths (unitary limit), is identified in the energy dependence of atom-molecule elastic cross-section in mass imbalanced systems. That happens in the collision of a heavy atom with mass $m_H$ with a weakly-bound dimer formed by the heavy atom and a lighter one with mass $m_L\ll m_H$. Approaching the heavy-light unitary limit the $s-$wave elastic cross-section $\sigma$ will present a sequence of zeros/minima at collision energies following closely the Efimov geometrical law. Our results open a new perspective to detect the discrete scaling behavior from low-energy scattering data, which is timely in view of the ongoing experiments with ultra-cold binary mixtures having strong mass asymmetries, such as Lithium and Caesium or Lithium and Ytterbium.

References in corpus (12)

• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Observation of heteronuclear atomic Efimov resonances
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Controlling collisions of ultracold atoms with dc electric fields
• Formation of ultracold LiCs molecules
• Heteronuclear Efimov scenario with positive intraspecies scattering length
• Generalized Efimov scenario for heavy-light mixtures
• Ultracold chemistry with alkali-metal-rare-earth molecules
• Looking for "avalanche-mechanism" loss at an atom-molecule Efimov resonance
• Neutron${-}^{19}$C scattering near an Efimov state
• Neutron${-}^{19}$C scattering: emergence of universal properties in a finite range potential
• Neutron-${}^{19}\mathrm{C}$ scattering: Towards including realistic interactions

Cited by in corpus (2)

• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na
• Two-body continuum states in non-integer geometry