Energy, radial and time distributions of the charged particles at the maximum of electromagnetic showers initiated by 5-1000 GeV electrons in Fe, W and Pb

TL;DR

This paper presents calculations of charged particle distributions in electromagnetic showers initiated by electrons from 5 to 1000 GeV in Fe, W, and Pb, highlighting material and energy effects relevant for particle source applications.

Contribution

It provides detailed calculations of energy, radial, and time distributions of charged particles at shower maxima for various materials and energies, emphasizing potential for ultra-relativistic particle sources.

Findings

Radial distributions become similar across materials when expressed in g/cm2.

Time spread of shower particles is in the picosecond range.

High Z materials can produce short, intense electron and positron bunches.

Abstract

The results of calculations of the charged particles energy, radial and time distributions at the maximum of electromagnetic showers initiated by electrons with energies from 5 to 1000 GeV in Fe, W and Pb are presented. It is shown that the shapes of energy distributions weekly depend on the electron energy, radial distributions for different materials become close to each other if radius is expressed in g/cm2 and the time spread of the shower particles is in the picosecond range. Analysis of the data obtained allows us to conclude that a high Z material placed in a high energy electron beam can be used as a source of short and intense bunches of ultarelativistic positrons and electrons with subpicosecond time spread.