Angular width of Cherenkov radiation with inclusion of multiple scattering: an path-integral approach

TL;DR

This paper develops a path-integral approach to calculate the angular width of Cherenkov radiation considering multiple scattering, providing analytical expressions and conditions for when scattering dominates the angular distribution.

Contribution

It introduces a novel path-integral method to analytically evaluate Cherenkov radiation angular width with multiple scattering effects included.

Findings

Analytical expressions for Cherenkov angular width with scattering

Conditions where multiple scattering dominates the angular distribution

Enhanced understanding of velocity measurement resolution

Abstract

Visible Cherenkov radiation can offers a method of the measurement of the velocity of a charged particles. The angular width of the radiation is important since it determines the resolution of the velocity measurement. In this article, the angular width of Cherenkov radiation with inclusion of multiple scattering is calculated through the path-integral method, and and the analytical expressions are presented. The condition that multiple scattering process dominates the angular distribution is obtained.