Glory scattering by black holes

Journal Article · Mon Apr 15 04:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.1869· OSTI ID:5774929

Matzner, R A; DeWitte-Morette, C; Nelson, B; Zhang, T

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, dsigma/d..cap omega.. = 4..pi../sup 2/lambda/sup -1/B/sub g/ /sup 2/(dB mW..pi.., where lambda is the wavelength, B(theta) is the inverse of the classical deflection function CTHETA(B), B/sub g/ is the glory impact parameter, s is the helicity of the scattered wave, and J/sub 2s/ 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(theta)/Mapprox.3 ..sqrt..3 + 3.48 exp(-theta), theta > owig..pi... The numerical values of dsigma/d..cap omega.. for this deflection function are found to agree with earlier computer calculations of glory cross sections from black holes.

• Research Organization: Relativity Center and Department of Physics, University of Texas, Austin, Texas 78712
• OSTI ID: 5774929
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR DISTRIBUTION
BESSEL FUNCTIONS
BLACK HOLES
CROSS SECTIONS
DISTRIBUTION
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
FEYNMAN PATH INTEGRAL
FUNCTIONS
HELICITY
INTEGRALS
MASSLESS PARTICLES
PARTICLE PROPERTIES
RADIATIONS
SCATTERING
SCHWARZSCHILD RADIUS
VISIBLE RADIATION