The cross section for double Compton scattering

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Compton Effect, Photon Density, Quantum Electrodynamics, Scattering Cross Sections, Astrophysics, Photon-Electron Interaction, Radiation Sources

Scientific paper

Employing elementary methods in nonrelativistic quantum electrodynamics, the cross section for gamma0 + e yields e + gamma + gamma is computed for arbitrary energy in the spectrum of the outgoing photons. The final result is given, differential in the energy of one of these photons, for the case where the incident photon is unpolarized and has energy E0 much less than mc-squared, a polarization sum and angular integration being performed for the final-state photons. The cross section has a simple algebraic form resulting from contributions from the sum of squared direct and exchange amplitudes; interference terms from these amplitudes do not contribute to the angular-integrated cross section.

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