Radio Emission of Air Showers with Energy E$_0$ $\geq$ 10$^{19}$ eV by Yakutsk Array Data

TL;DR

This study analyzes radio emissions from ultra-high-energy air showers using Yakutsk Array data, deriving a formula for lateral distribution and estimating the depth of maximum Xmax for specific events.

Contribution

It introduces a generalized formula for radio emission lateral distribution dependent on energy and Xmax, validated with Yakutsk data.

Findings

Derived a formula matching observed radio emission distributions.

Estimated Xmax for a 3.7×10^{19} eV air shower as 769±34 g/cm^2.

Validated the formula's accuracy at various distances from the shower axis.

Abstract

In this paper, we present results obtained from the measurements of radio emission at frequency of 32 MHz with energy more than 10$^{19}$ eV. Generalized formula that describe lateral distribution and depends on main characteristic of the air showers: energy E$_0$ and depth of maximum X$_{max}$ was derived. The formula has a good agreement with data at average and large distances from shower axis. Employing the ratio of radio emission amplitude at distances 175 m and 725 m we determined the depth of maximum X$_{max}$ for air shower with energy 3.7$\cdot$10$^{19}$ eV, which in our case is equal to X$_{max}$ = 769$\pm$34g$\cdot$cm$^{-2}$.