Hyperbolic-like elastic scattering of spinning particles by a Schwarzschild black hole

TL;DR

This paper analytically studies how spinning particles scatter off a Schwarzschild black hole, revealing spin-induced corrections to scattering angles and capture cross sections.

Contribution

It provides a first-order analytical solution for spinning particle motion in Schwarzschild spacetime, extending previous geodesic scattering models.

Findings

Spin causes measurable deviations in scattering angles.

Corrections to capture cross sections are quantified.

Analytical solutions are derived for the equations of motion.

Abstract

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial plane is taken as the orbital plane, the spin vector being orthogonal to it with constant magnitude. The equations of motion are solved analytically in closed form to first-order in spin and the solution is used to compute corrections to the standard geodesic scattering angle as well as capture cross section by the black hole.