Smearing of a beaming pattern by an isotropic cloud - an analysis with applications to nonpulsing X-ray sources and cosmic rays

Statistics – Applications

Scientific paper

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Compton Effect, Cosmic Rays, Neutron Stars, Scattering Coefficients, Stellar Envelopes, X Ray Binaries, Isotropic Media, Molecular Clouds, Smear, Stellar Oscillations

Scientific paper

There is increasing observational and theoretical evidence to suggest that many low-mass X-ray binaries contain neutron stars shrouded by optically thick plasma. The diffusion approximation was used to examine the effect of an isotropic, spherical scattering cloud on anisotropic or periodic emission from an embedded source. Compton scattering is treated by extending the 'scattering time' method of Sunyaev and Titarchuk (1980) to include the contribution of higher angular harmonics. Applications to cosmic-ray diffusion are also discussed. It is shown that: the smearing-out of a beaming pattern is largely determined by the ratio of the cloud radius to that of the source; that periodic variations of the source are damped exponentially, and a phase lag is introduced, if the oscillation period is short compared with the time for a photon to diffuse through the cloud; that Comptonization is accompanied by isotropization, so that any underlying modulation of the source is most likely to survive in the spectral range corresponding to its intrinsic radiation temperature.

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