Scattering cross section of the long gravitino wave in Schwarzschild spacetime

We investigate the scattering of gravitino wave in a Schwarzschild spacetime, focusing on the long-wavelength limit. Using perturbative techniques, we compute the differential scattering cross section through the simulating wave function method. Our work demonstrates that the spin-dependence of the gravitino scattering cross section aligns with known behaviors for the scalar, neutrino, and electromagnetic waves.