Volume 395 - 37th International Cosmic Ray Conference (ICRC2021) - NU - Neutrinos & Muons
An analytical derivation of the survival probability of muon penetrating through matters
T. Nakatsuka*, A. Iyono, S. Yamamoto, S. Tsuji, K. Okei and H. Matsumoto
*: corresponding author
Full text: pdf
Pre-published on: July 05, 2021
Published on: March 18, 2022
Abstract
The survival probabilities of muon after penetrating through matters are evaluated analytically by solving the diffusion equation,
taking account of not only bremsstrahlung but also positron-electron pair production and photonuclear interactions, together with ionization loss.
Inaccuracy of probabilities derived by the ordinary saddle point method, reaching to $e/\sqrt{2\pi}\simeq 1.08$, is corrected by applying the complementary-probability method.
Accuracies of the results are discussed by comparing them with those derived by a Monte Carlo method.
DOI: https://doi.org/10.22323/1.395.1230
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