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Saddle-Point Methods in the Cascade Theory

Abstract

ACCORDING to Landau and Rumer1 and others, the number of electrons of energy greater than E produced by one fast electron of energy E0 under a layer t cascade units thick is given by the formula, neglecting the collision loss and Compton effect: The integral is usually split into two terms containing the two exponentials, the first is evaluated by the saddle-point method and the second is neglected.

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References

  1. Landau and Rumer, Proc. Roy. Soc., A, 166, 213 (1938). Serber, Phys. Rev., 54, 317 (1938).

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  2. Bhabha and Charkrabarty, Proc. Roy. Soc., A, 186, 267 (1943).

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JANOSSY, L., TZU, H. Saddle-Point Methods in the Cascade Theory. Nature 157, 624 (1946). https://doi.org/10.1038/157624a0

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