Glory scattering by black holes

Details Glory scattering by black holes Glory scattering by black holes

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.1869m&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 8, 15 April 1985, pp.1869-1878

Statistics

Applications

20

Approximations, Semiclassical Theories And Applications, Exact Solutions

Scientific paper

We present a physically motivated derivation of the JWKB backward glory-scattering cross section of massless waves by Schwarzschild black holes. The angular dependence of the cross section is identical with the one derived by path integration, namely, dσ/dΩ=4π2λ-1Bg 2(dB mWπ, where λ is the wavelength, B(θ) is the inverse of the classical deflection function CTHETA(B), Bg is the glory impact parameter, s is the helicity of the scattered wave, and J2s is the Bessel function of order 2s. The glory rings formed by scalar waves are bright at the center; those formed by polarized waves are dark at the center. For scattering of massless particles by a spherical black hole of mass M, B(θ)/M~3 √3 +3.48 exp(-θ), θ>owigπ. The numerical values of dσ/dΩ for this deflection function are found to agree with earlier computer calculations of glory cross sections from black holes.

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