Analytical solutions for the multidimensional characteristics of electron-photon cascades

Physics

Scientific paper

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Angular Distribution, Cosmic Ray Showers, Distribution Functions, Electron Photon Cascades, Spatial Distribution, Laplace Transformation

Scientific paper

Analytical methods are proposed for determining the angular and spatial distribution functions of cascade particles. The method for solving the angular problem is based on the selection of values of equation parameters which admit an exact solution. The spatial distribution functions are obtained through an approximate solution of the exact equation. Moment values and an approximation of the spatial distribution function are obtained for cross sections homogeneous in energy.

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