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Probing the Efimov discrete scaling in atom-molecule collision

arXiv
Authors: M. A. Shalchi, M. T. Yamashita, M. R. Hadizadeh, E. Garrido, Lauro Tomio, T. Frederico

Year

2017

Paper ID

44287

Status

Preprint

Abstract Read

~2 min

Abstract Words

135

Citations

N/A

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 mH with a weakly-bound dimer formed by the heavy atom and a lighter one with mass mL ll mH. Approaching the heavy-light unitary limit the s-wave elastic cross-section σ 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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  • 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...

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