Correlation between multiple scattering angle and ionization energy loss for fast electrons

TL;DR

This paper investigates the relationship between multiple scattering angles and ionization energy loss for relativistic electrons in amorphous media, revealing a significant correlation especially at larger deflection angles.

Contribution

It provides a detailed calculation of the correlation between scattering angle and energy loss, highlighting the kinematical link and quantifying the mean energy loss dependence.

Findings

Correlation is strongest at deflection angles larger than typical.

Mean energy loss grows quadratically with deflection angle.

Proportionality coefficient for energy loss is greater at large angles.

Abstract

A correlation between the angle of multiple scattering and the ionization energy loss for relativistic electrons in an amorphous medium is computed by solving the combined transport equation. The correlation is found to be the most pronounced at deflection angles larger than typical, reflecting the underlying single-scattering kinematical correlation, but is also sizable at typical deflection angles, where the width of the angular distribution increases with the increase of the energy loss. The mean energy loss as a function of the deflection angle is calculated. It grows quadratically both at small and at large angles, but the proportionality coefficient at large angles is greater than at small ones.