Compton scattering in strong external electromagnetic fields

Mathematics

Scientific paper

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Charged Particles, Compton Effect, Electromagnetic Scattering, Particle Interactions, Photons, Electromagnetic Fields, Operators (Mathematics), Particle Mass, Radiative Transfer, Scattering Cross Sections, Synchrotron Radiation

Scientific paper

Compton scattering of photons by charged particles in the presence of a strong homogeneous external magnetic field is analyzed. The approach consists of combining the method provided by source theory with the mass-operator technique discussed by Schwinger (1975) with respect to synchrotron radiation. The 'mass operator' of the electron is calculated for the situation of a combined radiation and constant electromagnetic field, radiative corrections to the forward Compton scattering in the external field are computed, and the lowest-order Compton cross section is determined through the optical theorem. The classical and weak-field limits are noted along with other investigations that have used proper-time or mass-operator techniques.

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