Scattering cross section of the long gravitino wave in Schwarzschild spacetime

TL;DR

This paper calculates the scattering cross section of long-wavelength gravitino waves in Schwarzschild spacetime, revealing that their spin-dependent pattern matches that of scalar, neutrino, and electromagnetic waves.

Contribution

It introduces a perturbative method to derive the gravitino scattering cross section in Schwarzschild spacetime, highlighting its spin-dependent similarities with other wave types.

Findings

Gravitino scattering cross section follows a spin-dependent pattern.

The cross section is derived in the long-wavelength limit.

Results align with patterns observed in scalar, neutrino, and electromagnetic waves.

Abstract

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.