Physics – Optics
Scientific paper
Feb 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..111c&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Feb. 1984, p. 111-119.
Physics
Optics
23
Geometrical Optics, Light Scattering, Particle Motion, Relativity, Scattering Cross Sections, Angular Momentum, Asymptotic Methods, Particle Beams, Space-Time Functions, Theoretical Physics, Wave Scattering
Scientific paper
The classical scattering of a beam of test particles in the Ellis geometry is studied. The deflection angle of such a particle is examined as a function of the impact parameter, showing that the particle can make many turns before going back to infinity. Since a very small uncertainty in angular momentum may lead to total indeterminacy of the scattering angle, the classical scattering formalism cannot be applied to an individual particle. It can, however, be applied to a beam of particles. The behavior of the scattering cross section in the Ellis geometry is then investigated. It is concluded that the high-energy cross section for the scattering of light or of massive test particles by the Ellis geometry is dominated in the forward direction by the high angular momenta contribution, and in all other directions by the orbiting contribution, which is sharply peaked in the backward and forward directions.
Chetouani L.
Clement Gerard
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