The European Physical Journal D

, Volume 65, Issue 1–2, pp 67–82 | Cite as

Atom-dimer and dimer-dimer scattering in fermionic mixtures near a narrow Feshbach resonance

Regular Article Degenerate Fermi gases

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

Heavy Fermion Feshbach Resonance High Partial Wave Collisional Relaxation Relaxation Rate Constant 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.T.C.M. GroupUniversity of Cambridge, Cavendish LaboratoryCambridgeUK
  2. 2.Laboratoire de Physique Théorique et Modèles StatistiquesCNRS and Université Paris Sud, UMR8626OrsayFrance
  3. 3.Russian Research Center Kurchatov InstituteMoscowRussia

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