  We have investigated the use of pure spin-3/2 propagator with consistent
interaction Lagrangians to describe the property of spin-3/2 resonance. For
this purpose we use the antisymmetric tensor spinor representation. By using
the primary and secondary constraints we obtain the interaction fields that
have the correct degrees of freedom. To visualize the result we calculate the
contribution of spin-3/2 $\Delta$ resonance to the total cross section of pion
scattering and pion photoproduction off the nucleon. The result confirms that
the scattering and photoproduction amplitudes obtained from the pure spin-3/2
representation with consistent interaction Lagrangians exhibit the required
property of a resonance. Therefore, the formalism can be used for
phenomenological investigations in the realm of nuclear and particle physics.
