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.

16 pages, 21 figures. Submitted to EPJD, EuroQUAM special issue "Cold Quantum Matter - Achievements and Prospects"

References in corpus (21)

• Theory of ultracold Fermi gases
• Weakly bound dimers of fermionic atoms
• Resonantly-paired fermionic superfluids
• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
• Three-boson problem near a narrow Feshbach resonance
• Ultracold Heteronuclear Fermi-Fermi Molecules
• Efimov Physics in Cold Atoms
• Spin dynamics in a one-dimensional ferromagnetic Bose gas
• Low-energy three-body dynamics in binary quantum gases
• Scattering Length Scaling Laws for Ultracold Three-Body Collisions
• Universal Fermi gases in mixed dimensions
• Trimers, molecules and polarons in imbalanced atomic Fermi gases
• Diatomic molecules in ultracold Fermi gases - Novel composite bosons
• Imaging of s and d partial-wave interference in quantum scattering of identical bosonic atoms
• Energetics and Structural Properties of Trapped Two-Component Fermi Gases
• BEC-BCS Crossover of a Trapped Two-Component Fermi Gas with Unequal Masses
• Crystalline phase of strongly interacting Fermi mixtures
• All-optical production of a degenerate mixture of 6Li and 40K and creation of heteronuclear molecules
• Collisional properties of weakly bound heteronuclear dimers
• Confinement-induced Efimov resonances in Fermi-Fermi mixtures

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