Analytical-numerical methods of calculations of energy and three-dimensional particle distributions in electromagnetic cascades

Computer Science – Numerical Analysis

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Cosmic Ray Showers, Electromagnetic Radiation, Electron Scattering, Energy Distribution, Landau Factor, Numerical Analysis, Particle Interactions, Three Dimensional Motion, Angular Velocity, Galactic Cosmic Rays, Gamma Ray Bursts

Scientific paper

Analytical and numerical methods of calculation of the energy and three dimensional EPS characteristics are reported. The angular and lateral functions of electrons in EPS have been obtained by the Landau and small angle approximations A and B and compared with earlier data. A numerical method of solution of cascade equations for the EPS distribution function moments has been constructed. Considering the equilibrium rms angle as an example, errors appearing when approximating the elementary process cross sections by their asymptotic expressions are analyzed.

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