  We propose increasing the fractional quantum Hall gap of a rapidly rotating
Bose gas by increasing the interatomic interactions via a Feshbach resonance.
The generation of molecules by the resonance causes pair correlations to grow
throughout the system effecting the ground state. By an extension of the usual
Chern-Simons theory, built of composite atoms and molecules, we are able to
account for these resonance effects. We find that the resulting ground state
evolves from a Laughlin wavefunction to a unique paired wavefunction as one
approaches the resonance.
