Summary
The multiple photon production in Compton scattering at high energies is investigated from the Feynman-Dyson formalism of quantum electrodynamics. It is observed that the multiple Compton scattering cross-section is largest when the photons emitted are all soft except one and differs from the single Compton scattering by a multiplicative factor, which increases with increasing energy of the incident photon. The multiple cross-section for bremsstrahlung at high energies is then obtained by the Williams-Weizsäcker method. The emission of about four hard photons within an extremely narrow cone is shown to be a plausible estimate.
Riassunto
Partendo dal formalismo di Feynman-Dyson dell’elettrodinamica quantistica si studia la produzione multipla dei fotoni nello scattering Compton alle alte energie. Si osserva che la sezione d’urto per lo scattering Compton multiplo è massima quando i fotoni emessi sono tutti molli eccetto uno e differisce da quella dello scattering Compton semplice per un fattore moltiplicativo che cresce coll’aumentare dell’energia del fotone incidente. La sezione d’urto multipla per la bremsstrahlung alle alte energie si ottiene poi col metodo di Williams-Weizsäcker. Si mostra che l’emissione di circa quattro fotoni duri entro un cono estremamente ristretto risponde a una previsione plausibile.
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Majumdae, R.C., Mathur, V.S. & Dhar, J. Multiple photon production in Compton scattering and bremsstrahlung. Nuovo Cim 12, 97–105 (1959). https://doi.org/10.1007/BF02747813
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DOI: https://doi.org/10.1007/BF02747813