Abstract
The process of Compton scattering by a free electron with subsequent reemission of one or two photons is considered in the assumption of finite interaction time. The corresponding cross sections are obtained in the framework of relativistic quantum electrodynamics using a modified form of fermion propagator with complex transmitted momentum. It is shown that finite time effects can be observable at sufficiently low energies of scattered photons. The proposed method also regularizes arising infrared divergence in the cross section of the double Compton effect. Possible experimental verification of considered theoretical approach is discussed.
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ACKNOWLEDGMENTS
The authors are grateful to Dr. V. Zalipaev (Laboratory of Quantum Processes and Measurements, ITMO University, St. Petersburg, Russia) and Dr. D. Solovyev (Department of Physics, St. Petersburg State University, Russia) for valuable discussion.
Funding
The work of T. Z. was supported by the grant of the President of the Russian Federation (grant number MK-4796.2022.1.2).
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Dubrovich, V.K., Zalialiutdinov, T.A. Finite Time Effects in Single and Double Compton Scattering. J. Exp. Theor. Phys. 136, 683–689 (2023). https://doi.org/10.1134/S1063776123060043
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DOI: https://doi.org/10.1134/S1063776123060043