Scattering cross section of the long gravitino wave in Schwarzschild spacetime

We investigate the scattering of gravitino wave in a Schwarzschild gravitational field. Employing the simulating wave function method within the framework of perturbative techniques, we derive the differential scattering cross section for the gravitino wave in the long-wavelength limit. It is proven that the cross section of gravitino wave follows the same spin-dependent pattern as those of scalar, neutrino, and electromagnetic waves.