Summary
In this paper we consider a simple model of an electron-photon cascade in which the transformation probabilities are functions of absorber depth. The mean and variance of the number of electrons in the cascade as a function of absorber depth are obtained and their properties discussed. An equation which yields the probability that the cascade will eventually terminate is also given.
Riassunto
Nel presente lavoro si considera un modello semplice di una cascata di elettroni e fotoni in cui le probabilità di trasformazione sono funzioni dello spessore dell’assorbitore. Si ricavano la media e la varianza del numero degli elettroni nella cascata in funzione dello spessore dell’assorbitore e se ne discutono le proprietà. Si dà anche un’equazione che fornisce la probabilità che la cascata si arresti.
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Research supported in part by Office of Ordnance Research Contract No. DA-04-200-ORD-651.
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Max Woods, W., Bharucha-Reid, A.T. Age-dependent branching stochastic processes in cascade theory — II. Nuovo Cim 10, 569–578 (1958). https://doi.org/10.1007/BF02859793
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DOI: https://doi.org/10.1007/BF02859793