Probing Efimov discrete scaling in an atom-molecule collision
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2018-01-05
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Amer Physical Soc
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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 an 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) << m(H). Approaching the heavy-light unitary limit, the s-wave elastic cross section sigma will present a sequence of zeros or minima at collision energies following closely the Efimov geometrical law. Our results, obtained with Faddeev calculations and supplemented by a Born-Oppenheimer analysis, open a perspective to detecting the discrete scaling behavior from low-energy scattering data, which is timely in view of the ongoing experiments with ultracold binary mixtures having strong mass asymmetries, such as lithium and cesium or lithium and ytterbium.
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Physical Review A. College Pk: Amer Physical Soc, v. 97, n. 1, 6 p., 2018.