Atom-dimer and dimer-dimer scattering in fermionic mixtures near a narrow Feshbach resonance
Abstract
We develop a diagrammatic approach for solving few-body problems in heteronuclear fermionic mixtures near a narrow interspecies Feshbach resonance. We calculate s-, p-, and d-wave phaseshifts for the scattering of an atom by a weakly-bound dimer. The fermionic statistics of atoms and the composite nature of the dimer lead to a strong angular momentum dependence of the atom-dimer interaction, which manifests itself in a peculiar interference of the scattered s- and p-waves. This effect strengthens with the mass ratio and is remarkably pronounced in 40K-(40K-6Li) atom-dimer collisions. We calculate the scattering length for two dimers formed near a narrow interspecies resonance. Finally, we discuss the collisional relaxation of the dimers to deeply bound states and evaluate the corresponding rate constant as a function of the detuning and collision energy.
Keywords
Cite
@article{arxiv.1101.5979,
title = {Atom-dimer and dimer-dimer scattering in fermionic mixtures near a narrow Feshbach resonance},
author = {J. Levinsen and D. S. Petrov},
journal= {arXiv preprint arXiv:1101.5979},
year = {2011}
}
Comments
16 pages, 21 figures. Submitted to EPJD, EuroQUAM special issue "Cold Quantum Matter - Achievements and Prospects"