  We propose the use of pure spin-3/2 propagator in the $(3/2,0) \oplus
(0,3/2)$ representation in particle and nuclear physics. To formulate the
propagator in a covariant form we use the antisymmetric tensor spinor
representation and we consider the $\Delta$ resonance contribution to the
elastic $\pi N$ scattering as an example. We find that the use of conventional
gauge invariant interaction Lagrangian leads to a problem; the obtained
scattering amplitude does not exhibit the resonance behavior. To overcome this
problem we modify the interaction by adding a momentum dependence. As in the
case of Rarita-Schwinger we find that a perfect resonance description could be
obtained in the pure spin-3/2 formulation only if hadronic form factors were
considered in the interactions.

Nuclear Theory;High Energy Physics - Phenomenology;High Energy Physics - Theory