On the Beaming Statistics of Gamma-ray Sources

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Scientific paper

The beaming pattern produced by a relativistically moving blob of isotropic nonthermal electrons that Thomson-scatter photons from an external isotropic radiation field goes as {cal D}(4+2alpha ) . Here {cal D} is the Doppler factor and alpha is the energy spectral index of the radiation. This differs from the well-known beaming pattern produced by radiation emitted isotropically in the blob frame, which is ~ {cal D}(3+alpha ) . This result is important for treatments of blazar statistics, beaming constraints, and tests of gamma-ray source models.

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