Stability of fermionic molecules in a Bose-Fermi mixture

In the wake of successful experiments in Fermi condensates, experimental attention is broadening to include resonant interactions in degenerate Bose-Fermi mixtures. We consider the properties and stability of the fermionic molecules that can be created in such a mixture near a Feshbach resonance. To do this, we consider the two-body scattering problem in the many-body environment, and assess its complex poles. The stability properties of the resulting molecules are non-trivial, and depend strongly on their center-of-mass motion in the gas. We also study the effects of this physics on the equilibrium properties of the gas, and in particular on the molecular population and momentum distribution.