We examine the importance of J^P = 1/2^+, 1/2^- resonances for weak
nonleptonic Omega^- decays within the framework of chiral perturbation theory.
The spin-1/2 resonances are included into an effective theory and tree
contributions to the Omega^- decays are calculated. We find significant
contributions to the decay amplitudes and satisfactory agreement with
experiment. This confirms and extends previous results wherein such spin-1/2
resonances were included in nonleptonic and radiative-nonleptonic hyperon
decays.Comment: 12 pages, 2 figure