  We develop a self-consistent theory unifying the description of a quantum
Fermi gas in the presence of a Fano-Feshbach resonance in the whole phase
diagram ranging from BCS to BEC type of superfluidity and from narrow to broad
resonances, including the fluctuations beyond mean field. Our theory covers a
part of the phase diagram which is not easily accessible by Quantum Monte Carlo
simulations and is becoming interesting for a new class of experiments in cold
atoms.
