Approximating the Lateral Distribution Function of Cherenkov Radiation as a Function of the Particle Type for Tunka-133 Array

TL;DR

This paper models the lateral distribution function of Cherenkov radiation from extensive air showers for different primary particles using simulations and polynomial approximations, aiding in particle identification for the Tunka-133 array.

Contribution

It introduces a parameterized polynomial approximation of Cherenkov LDF based on CORSIKA simulations for various primary particles at 1 PeV energy.

Findings

Polynomial functions accurately approximate simulated LDFs.

The method differentiates primary particle types based on Cherenkov LDF.

Validation shows good agreement between approximation and simulation.

Abstract

The main interest of the present work is in analyzing the lateral distribution function (LDF) of Cherenkov radiation from particles that produced in Extensive Air Showers (EAS). The simulation of Cherenkov radiation LDF is fulfilled by utilizing the CORSIKA program at 1 PeV of the primary energy around the knee region for many primaries for vertical showers for Tunka-133 array conditions. Depending on the numerical simulation results of Cherenkov light LDF, sets of parameterized polynomial functions are resetted for several particles as a function of primary particle type. The comparison between the approximated LDF of Cherenkov radiation with the LDF which has been simulated using CORSIKA program for Tunka-133 array is verified for several primary particles for vertical EAS cascade.