Fluctuations of the mean free path of particles of an electron-photon shower in an infinite medium

Computer Science – Numerical Analysis

Scientific paper

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Cosmic Ray Showers, Electron Photon Cascades, Mean Free Path, Particle Trajectories, Positrons, Primary Cosmic Rays, Asymptotic Methods, Collision Parameters, Energetic Particles, Numerical Analysis, Particle Collisions

Scientific paper

The present analysis deals with the asymptotic behavior of the total
mean free path of electrons and positrons of above-threshold energies in
a shower produced by a primary cosmic-ray particle. An expression
derived for the asymptotic behavior of the fluctuations is shown to
correlate well with numerical calculations.

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