Fermion scattering by a Schwarzschild black hole

Details Fermion scattering by a Schwarzschild black hole Fermion scattering by a Schwarzschild black hole

2006-05-05

arxiv.org/abs/gr-qc/0605031v2

Phys.Rev. D74 (2006) 064005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor changes, 1 figure added. Version to appear in Phys. Rev. D. 36 pages, 13 figures

Scientific paper

10.1103/PhysRevD.74.064005

We study the scattering of massive spin-half waves by a Schwarzschild black hole using analytical and numerical methods. We begin by extending a recent perturbation theory calculation to next order to obtain Born series for the differential cross section and Mott polarization, valid at small couplings. We continue by deriving an approximation for glory scattering of massive spinor particles by considering classical timelike geodesics and spin precession. Next, we formulate the Dirac equation on a black hole background, and outline a simple numerical method for finding partial wave series solutions. Finally, we present our numerical calculations of absorption and scattering cross sections and polarization, and compare with theoretical expectations.

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