  In earlier work we introduced an abelianized gauge field model in which a
Rarita-Schwinger field is directly coupled to a spin-$\frac{1}{2}$ field, and
showed that this model admits a perturbative expansion in the gauge field
coupling. As a preliminary to further study of the coupled model, in this paper
we present a detailed analysis of the free field structure that obtains when
the dimensionless gauge coupling is set to zero, but the dimension one coupling
of the spin-$\frac{3}{2}$ and spin-$\frac{1}{2}$ fields remains nonzero.
