Volume 358 - 36th International Cosmic Ray Conference (ICRC2019) - CRI - Cosmic Ray Indirect
Parametrization of $X_\mathrm{max}$ distributions in the ultra-high energy regime
L. Arbeletche* and V. de Souza
Full text: pdf
Pre-published on: July 22, 2019
Published on: July 02, 2021
Abstract
Distributions of depth of shower maximum ($X_\mathrm{max}$) are parametrized and results are compared to previous studies. Large samples of extensive air showers were simulated using the CONEX simulation package in the energy range 10$^{17-20}$ eV for four primary masses: proton, carbon silicon and iron. Three functions are studied to parametrize the distributions of $X_\mathrm{max}$: exponentially modified Gaussian (EMG), generalized Gumbel (GMB) and log-normal (LOG). Results allow for a direct comparison between the proposed functional forms in terms of the Akaike information theory and this comparison suggests that GMB function should be used in the description of $X_\mathrm{max}$ data. LOG distribution also provides reasonable fits for low-mass primaries while the EMG function should be discarded. A parametrization of each function for each used hadronic interaction model is discussed and a comparison to previous parametrizations is presented.
DOI: https://doi.org/10.22323/1.358.0174
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access