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Moment method in the theory of cascade-process fluctuations

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Abstract

A method for calculating the fluctuations and correlations in cascade processes is outlined, on the basis of deriving random cascade curves from their spatial (longitudinal) moment. The method reduces the problem of calculating cascade fluctuations in a homogeneous medium to calculating the covariational matrix of random moments, depending only on the energy variable. The set of elements of this matrix allows the fluctuations and core correlations of any track characteristics of the cascade to be calculated. The method is intended for calculations of high-energy cascades, when the influence of fluctuations of high-order longitudinal moments (n ≧ 5) may be neglected.

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Translated from Izvestiya Vysskikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 17–23, March, 1987.

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Vetoshkin, V.V., Uchaikin, V.V. Moment method in the theory of cascade-process fluctuations. Soviet Physics Journal 30, 195–200 (1987). https://doi.org/10.1007/BF00897852

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  • DOI: https://doi.org/10.1007/BF00897852

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