Compton scattering in strong magnetic fields in the laboratory frame

Physics

Scientific paper

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Scientific paper

The Compton scattering cross-section in strong magnetic fields in the laboratory frame is derived, which gives Herold's result in the electron rest frame but cannot be recovered vice versa from the latter by relativistic transformations. For the scattering of a low-frequency photon with electrons, this cross-section has a simple form which can also be reduced to Herold's nonrelativistic limit but cannot be recovered either from the latter. Compared with previous works, this cross-section is directly applicable in astrophysical calculations for both relativistic and nonrelativistic cases and may lead to some revisions to past astrophysical calculations based upon Herold's expressions.

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