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.

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Cited by in corpus (9)

• Fate of the neutron-deuteron virtual state as an Efimov level
• The charge and mass symmetry breaking in the $KK\bar{K}$ system
• Laser-Assisted Self-Induced Feshbach resonance for ultracold polar molecule formation
• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na
• Possible halo structure of ${}^{62,72}$Ca by forbidden-state-free locally peaked Gaussians
• Three-body continuum states and Efimov physics in non-integer geometry
• Scattering of cold ${}^4$He on ${}^4$He${-}^{6,7}$Li and ${}^4$He${-}^{23}$Na molecules
• Two-body continuum states in non-integer geometry
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics