Development of an electron-nuclear cascade in a homogeneous absorber, taking decay and ionization losses into account

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmic Ray Showers, Electron Photon Cascades, Elementary Particle Interactions, Energy Dissipation, Nuclear Interactions, Distribution Functions, Hadrons, Ionization Cross Sections, Pions, Radiation Absorption

Scientific paper

The electron-nuclear cascade equation is solved analytically for the nonscaling case with allowance for ionization losses and decay in a homogeneous medium. The accuracy of the solution is assessed, and a comparison is made with results for scaling and logarithmic growth of the cross sections. The ratio of the number of pions with decay to the number of pions without decay is determined for an energy of 10 to the 5th GeV. It is noted that the present approach can be used to calculate the average characteristics and first moments of the distribution function of shower particles in water and in the atmosphere.

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