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Orbiting cross sections: Application to black hole scattering.

The semiclassical formulas for orbiting cross sections (spiraling scattering) are derived for particles and for scalar waves. They are applied to scalar waves orbiting Schwarzschild black holes. The cross sections for scalar waves orbitin Schwarzschild black holes are also computed numerically by the method of partial wave decomposition. They are compared with the semiclassical analytic cross sections. The approximations made in the semiclassical analysis determine the scattering up to two parameters: the overall amplitude and the phase of the oscillation in the cross section