Estimative of the inelasticity coefficient using the energy spectrum of the hadrons, electrons and photons

Abstract

The diffusion equations of hadrons in the atmosphere are integrated using the semigroup theory. The electromagnetic flux is derived from the hadronic fluxes using the approximation A of the electromagnetic cascade theory. The integral fluxes of these components can be numerically calculated considering the following hypothesis. a) The hadronic interaction mean free path has a power-law dependence on energy lambda(sub i)(E) = lambda(sub 0i)E(sup - a)(i = n or pi). b) Mixed composition of the primary cosmic radiation. The heavy nuclei are included considering the superposition model. c) The nucleon elasticity distribution f(eta) has the form f(eta) = (1 + beta)(1 - eta)(sup beta). Diffractive phenomena are also included.