Distributions of the charged particles multiplicities in the electromagnetic showers initiated by 10 to 1000 GeV electrons in lead

TL;DR

This paper uses GEANT4 simulations to analyze charged particle multiplicity distributions in electromagnetic showers caused by electrons of 10 to 1000 GeV in lead, revealing their fitting by a sum of two exponentials and discussing their evolution with depth.

Contribution

It introduces a detailed simulation-based analysis of multiplicity distributions in electromagnetic showers, including their fitting and evolution, and estimates detector energy resolution.

Findings

Distributions are well fitted by the inverse sum of two exponents.

Shape evolution of distributions with lead depth is characterized.

Energy resolution of a simple detector setup is estimated.

Abstract

Distributions of the charged particles multiplicities in the electromagnetic showers initiated by 10 to 1000 GeV electrons in lead are calculated using GEANT4. It is shown that they are well fitted by the inverse sum of two exponents. The evolution of the multiplicity distribution shapes as a function of the lead depth is discussed. An estimate of the energy resolution of a simple e,{\gamma} detector consisting of a high Z convertor and a counter of the shower electrons and positrons is presented.