Generalized BEC and crossover theories of superconductors and ultracold Fermi gases

The crossover picture is applicable also to ultracold atomic clouds, both bosonic and fermionic. But low-density expansions involving the interatomic scattering length a diverge term-by-term around the so-called unitary zone about the Feshbach resonance. However, expanding a in powers of the attractive part of the interatomic potential renders smooth, divergence-free low-density expansions.