  The dynamical atom/molecule projection, recently used to probe fermion
pairing, is fast compared to collective fermion times, but slow on the Feshbach
resonance width scale. Theory of detuning-induced dynamics of molecules coupled
to resonantly associating atom pairs, employing a time-dependent many-body
Green's function approach, is presented. An exact solution is found, predicting
a 1/3 power law for molecule production efficiency at fast sweep. The results
for $s$- and p-wave resonances are obtained and compared. The predicted
production efficiency agrees with experimental observations for both condensed
and incoherent molecules away from saturation.
