PoS - Proceedings of Science
Volume 444 - 38th International Cosmic Ray Conference (ICRC2023) - Gamma-ray Astronomy (GA)
Formulae to predict the excess-path-length distribution of cascade-shower electrons
T. Nakatsuka* and K. Okei
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Pre-published on: August 03, 2023
Published on: September 27, 2024
Abstract
Theoretical investigations of excess-path-length distribution for cascade-shower electrons are important to understand the arrival-time-distribution of shower electrons observed in the air shower experiment. We acquired the formulae to describe the excess-path-length distribution by solving the diffusion equation of the cascade process under Approximation A and B. Reliability of the formulae is examined by comparing them with the distribution derived by the Monte Carlo calculations.
DOI: https://doi.org/10.22323/1.444.0681
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