Role of the Baryon Exchanges in Generating ${\frac{3}{2}}^{+}$ Resonances

The role of the spin-½ baryon exchanges in generating the ${\Omega }^{-}$ is examined in the framework of the $\frac{N}{D}$ method. The resulting integral equations are solved numerically to show that the baryon exchanges lead to an extremely overbound state. A comparison is also made between this and a determinantal-approximation calculation to show that an earlier calculation indicating a resonating ${\Omega }^{-}$ state is due to a deficiency in the determinantal approximation.