Summary
We study the radiative pair production and we give the differential cross-section for two kinematical cases. Pair, electron and positron with the same momentum, forward and scattered photon emitted at an angleϑ. Photon emitted in the forward direction and pair, still electron and positron with the same momentum, emitted at an angleϑ. The calculations are performed with the standard perturbative theory in Born approximation. For small angleϑ and for incident γ energy available from modern synchrotrons the two cross-sections are sufficiently high so that they can be measured.
Riassunto
Si studia la produzione radiativa di coppie e viene data la sezione d’urto per due casi cinematici. Coppia (elettrone e positrone con lo stesso impulso) in avanti e fotone smesso ad un angoloϑ. Fotone in avanti e coppia (con elettrone e positrone aventi ancora lo stesso impulso) emessa ad un angoloϑ. Per lo sviluppo dei calcoli si è usata la consueta teoria delle perturbazioni nell’approssimazione di Born. Per piccoli angoliϑ e per energie del γ incidente raggiungibili con i moderni sincrotroni le sezioni d’urto sono abbastanza alte da essere misurabili.
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This work was mostly performed at the University of Rome and has been supported in part by the U. S. Atomic Energy Commission Contract AT(U-1)-264-(G.J.L.) and by the Consiglio Nazionale delle Ricerche (R.S.L.).
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De Tollis, B., Lasinio, G.J. & Liotta, R.S. Inelastic scattering of high energy photons in the Coulomb field of a nucleus with production of electron-positron pairs (radiative pair production). Nuovo Cim 18, 545–553 (1960). https://doi.org/10.1007/BF02732725
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DOI: https://doi.org/10.1007/BF02732725