Parametric analysis of the Lateral Distribution Function of Cherenkov light for Yakutsk EAS Array in the Energy Range 1-20 PeV

TL;DR

This study simulates the lateral distribution function of Cherenkov light for various particles and energies, parameterizes it with a Lorentzian function, and compares it with Yakutsk array measurements, showing good agreement.

Contribution

It provides a parametric model of Cherenkov light LDF for different particles and energies, validated against experimental data.

Findings

Good agreement between simulated and measured LDF within 100-1000 m

Parameterization with Lorentzian function effectively describes LDF

Simulation covers energies 1-20 PeV and multiple particle types

Abstract

In this research, the simulation of lateral distribution function (LDF) of Cherenkov radiation was performed using CORSIKA software for two hadronic models QGSJET and GHEISHA. This simulation was performed for several elementary particles such as protons, iron nuclei, electrons and gamma quanta, in the range of energies 1-20 PeV for three zenith angles 0, 20 and 30 degrees. A parameterization of Cherenkov light LDF was performed for that simulated curves using Lorentzian function. The comparison between the obtained results for LDF of Cherenkov light with that measured with Yakutsk EAS array gave a good agreement within the distances of 100-1000 m from the shower axis.