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Abstract

"An Account of Regge Asymptotics of the Scattering Cross-Section In the Theory of Multiple Scattering in Amorphous Media"

N. V. Bondarenko

Department of Physics and Technology, Kharkov State University,
31 Kurchatov Avenue, Kharkov, 61108, Ukraine
E-mail:bon@kipt.kharkov.ua

The Bethe-Moliere theory of high-energy multiple scattering is revised. Consequences of introducing to the theory of Regge asymptotic behaviour for an elementary cross-section, (q) ~ q-4+4,  > 0 are analysed. It is shown, that replacing the logarithmic behaviour by a power one leads to a formula for for the distribution function in the form of a certain integral, which is positive and monotonic function of q. That can be regarded as an improvement as compared with the Bethe-Moliere expansion, which when cut off can give a negative probability. We argue, that the right way of approaching the singular point  = 0 is from the side of positive values, and it turns out, that in this limit +0 the theory as whole does not turn into the Bethe-Moliere one. In the area of single scattering (q) we obtain a linear growth with time, that seems more natural, then the logarithmical evolution in the Bethe-Moliere theory.

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