  We theoretically examine the neutral atom-molecule analogue of the anomalous
quantum correlations between degenerate electrons, i.e., Cooper pairs, that are
responsible for superconductivity. Based on rogue dissociation of triatomic
molecules (trimers) into opposite-momentum pairs of atoms and diatomic
molecules (dimers) via a photoassociation or Feshbach resonance, we find a
superfluid transition to a Bose-Einstein condensate of trimers dressed by
atom-dimer Cooper pairs, at a critical temperature in reach of present
ultracold technology.
