The bound states of a system consisting of two heavy identical atoms and one light electron interacting through finite-range pairwise potentials are explored, focusing on their dependence on the electron-atom scattering length. In the case of an exact resonance in the electron-atom interaction, the binding energy of an electron yields an effective $1/{r}^{2}$ potential for the relative motion of the atoms. One major finding is a universal potential that depends on the polarization length, which goes beyond the Efimov region. An analytic expression for that potential is extracted from numerical calculations. The spectrum of the $e+\mathrm{Rb}+\mathrm{Rb}$ system produced by the electron-atom polarization interaction exhibits three main sections: a nonuniversal transition region, a quasi-Efimov region, and a densely packed Efimov region.The bound states of a system consisting of two heavy identical atoms and one light electron interacting through finite-range pairwise potentials are explored, focusing on their dependence on the electron-atom scattering length. In the case of an exact resonance in the electron-atom interaction, the binding energy of an electron yields an effective $1/{r}^{2}$ potential for the relative motion of the atoms. One major finding is a universal potential that depends on the polarization length, which goes beyond the Efimov region. An analytic expression for that potential is extracted from numerical calculations. The spectrum of the $e+\mathrm{Rb}+\mathrm{Rb}$ system produced by the electron-atom polarization interaction exhibits three main sections: a nonuniversal transition region, a quasi-Efimov region, and a densely packed Efimov region.

arXiv:1803.05333Physical Review AAug 30, 20182 citations

Efimov Physics in a Fermi Gas

Kenneth M. O’Hara

APSMar 1, 20100 citations

Efimov physics: a review

Pascal Naidon, Shimpei Endo

This article reviews theoretical and experimental advances in Efimov physics, an array of quantum few-body and many-body phenomena arising for particles interacting via short-range resonant interactions, that is based on the appearance of a scale-invariant three-body attraction theoretically discovered by Vitaly Efimov in 1970. This three-body effect was originally proposed to explain the binding of nuclei such as the triton and the Hoyle state of carbon-12, and later considered as a simple explanation for the existence of some halo nuclei. It was subsequently evidenced in trapped ultra-cold atomic clouds and in diffracted molecular beams of gaseous helium. These experiments revealed that the previously undetermined three-body parameter introduced in the Efimov theory to stabilise the three-body attraction typically scales with the range of atomic interactions. The few- and many-body consequences of the Efimov attraction have been since investigated theoretically, and are expected to be observed in a broader spectrum of physical systems.This article reviews theoretical and experimental advances in Efimov physics, an array of quantum few-body and many-body phenomena arising for particles interacting via short-range resonant interactions, that is based on the appearance of a scale-invariant three-body attraction theoretically discovered by Vitaly Efimov in 1970. This three-body effect was originally proposed to explain the binding of nuclei such as the triton and the Hoyle state of carbon-12, and later considered as a simple explanation for the existence of some halo nuclei. It was subsequently evidenced in trapped ultra-cold atomic clouds and in diffracted molecular beams of gaseous helium. These experiments revealed that the previously undetermined three-body parameter introduced in the Efimov theory to stabilise the three-body attraction typically scales with the range of atomic interactions. The few- and many-body consequences of the Efimov attraction have been since investigated theoretically, and are expected to be observed in a broader spectrum of physical systems.

arXiv:1610.09805Reports on Progress in PhysicsMar 28, 2017477 citations

Efimov-like spectrum of a finite dipole

Dániel Schumayer, Brandon P. van Zyl, Rajat K. Bhaduri +1 more

Aug 5, 20090 citations

1/{r}^{2}

potential for the relative motion of the atoms. One major finding is a universal potential that depends on the polarization length, which goes beyond the Efimov region. An analytic expression for that potential is extracted from numerical calculations. The spectrum of the

e+\mathrm{Rb}+\mathrm{Rb}

system produced by the electron-atom polarization interaction exhibits three main sections: a nonuniversal transition region, a quasi-Efimov region, and a densely packed Efimov region.