Resonance Compton Scattering
in an External Magnetic Field

P. I. Fomin^1, * and R. I. Kholodov²

¹Bogolyubov Institute of Theoretical Physics, National Academy of Science of Ukraine,
Kiev, 252028 Ukraine
²Institute of Applied Physics, National Academy of Science of Ukraine, Sumy, 244030 Ukraine

*e-mail: pfomin@bitp.kiev.ua

Received September 1, 1999

Abstract—The scattering of a photon by an electron in an external magnetic field under resonant conditions,
when the photon energy is close to the splittings between the Landau levels, is investigated. Formulas are
obtained for the cross section of the process taking account of the polarization of the electron. For external fields
~10¹²G the resonant Compton cross section is several orders of magnitude greater than the Thompson cross
section, and the width of the resonance is tens of electron volts. © 2000 MAIK “Nauka/Interperiodica”.

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