The Compton effect in a strongly magnetized plasma

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The process of Compton scattering $γe^{\pm} \to γe^{\pm}$ in a strongly magnetized medium of arbitrary temperature and zeroth chemical potential was considered. The analytical expressions for the partial cross section in the small concentration limit of the electron-positron plasma are obtained. The numerical estimations for the partial probabilities of this process are presented by taking into account the photon dispersion in a strong magnetic field and charge-symmetric plasma of arbitrary temperature. The comparision of the scattering probability with photon splitting in a plasma was investigated. The astrophysical applications of the obtaining results are considered.
9 pages, LaTeX, 5 figures, based on the talk presented by D.A. Rumyantsev at the XIV International Seminar Quarks'2006, St.-Petersburg, Repino, Russia, May 19-25, 2006, to appear in the Proceedings

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