Discrete Scaling and Scattering Properties from Atom-Dimer Collision

Abstract

A recent proposal on a new perspective to detect the Efimov-like discrete scaling in ultra-cold binary mixtures with strong mass-imbalanced atomic species is communicated. The discrete scaling can be identified by the energy dependence of an atom-molecule elastic cross-section, when colliding a heavy atom with mass \(m_{\alpha }\) into a weakly-bound heavy-light (\(m_{\alpha },m_{\beta }\)) dimer. In the extreme mass-imbalanced system it was verified that the s-wave elastic cross section presents zeros at several specific energies of the projectile, in which emerges a discrete behavior from the ratio between these energies. This discrete behavior is identified with the same one predicted for the trimer excited bound-states, when considering the same mass-imbalanced system in the unitary limit.