The Landau Distribution for Charged Particles Traversing Thin Films

Details The Landau Distribution for Charged Particles Traversing Thin Films The Landau Distribution for Charged Particles Traversing Thin Films

2003-05-28

arxiv.org/abs/hep-ph/0305310v3

Int.J.Mod.Phys. C17 (2006) 1461-1476

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, 4 Tables

Scientific paper

10.1142/S0129183106009928

The Landau distribution as well as its first and second momenta are well suited for describing the energy loss of charged particles traversing a thin layer of matter. At present, just rational approximations and asymptotic expressions for these functions were obtained. In this paper we present a direct calculation of the integral representation of these functions obtaining perturbative and nonperturvative solutions expressed in terms of fast convergent series. We also provide a simple numerical algorithm which allows to control speed and precision of the results. The testing runs have provided, in reasonable computing times, correct results up to 13-14 significant digits on the density and distribution functions and 9-10 on the first and second momenta. If necessary, this accuracy could be improved by adding more coefficients to the algorithm.

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