The structure of EAS at E 0.1 EeV

Mathematics

Scientific paper

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Cosmic Ray Showers, Energy Spectra, Light Transmission, Particle Trajectories, Radiation Detectors, Cosmic Rays, Electromagnetism, Mathematical Models, Nitrogen Fluorides

Scientific paper

The ratio of extensive air showers (EAS) total shower energy in the electromagnetic channel (E em) to the size of the shower at maximum development (N max) from a direct measurement of shower longitudinal development using the air fluorescence technique was calculated. The values are not inconsistent with values based upon track length integrals of the Gaisser-Hillas formula for shower development or the known relation between shower energy and size at maximum for pure electromagnetic cascades. Using Linsley's estimates for undetected shower energy based on an analysis of a wide variety of cosmic ray data, the following relation for total shower energy E vs N max is obtained. The Gaisser Hillas implied undetected shower energy fractions.

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