Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...342.1108z&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 342, July 15, 1989, p. 1108-1122.
Astronomy and Astrophysics
Astrophysics
17
Compton Effect, Electron Scattering, Photon-Electron Interaction, Relativistic Electron Beams, Background Radiation, Gamma Ray Spectra, Quantum Theory
Scientific paper
The kinetic equation describing Compton losses of relativistic electrons in an isotropic field of soft background photons is solved exactly including both continuous energy losses in the classical Thomson regime and catastrophic losses in the quantum Klein-Nishina regime. This extends the previous treatments of this problem, which assumed the validity of either one of these regimes alone. The problem is relevant to astrophysical sources containing relativistic electrons. Analytical solutions for the steady state electron and gamma-ray spectra in the case of power-law soft photons and monoenergetic and power-law electron injections are obtained. Numerical solutions are presented for monoenergetic, blackbody, and power-law soft photons. A comparison between the numerical and the available analytic solutions is made.
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