Analytical Versus Monte Carlo Description of Cherenkov Contribution in Air Showers

Physics

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Scientific paper

The CORSIKA simulation code is used to calculate the longitudinal profile of Cherenkov photons for showers at the highest energies. The results are compared to analytical calculations based on the longitudinal shower size profile and electron energy distribution. A new, universal parametrization of the electron energy distribution in high-energy showers is presented. This parametrization allows us to derive the longitudinal Cherenkov profile both in a purely analytical way and a posteriori using the longitudinal particle number provided by CORSIKA. Necessary corrections in the normalization due to the specific energy threshold used in the simulation are discussed. The parametrization can be used in calculations e.g. for fluorescence telescope observations and shower reconstruction.

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