Moliere's multiple scattering theory revisited

TL;DR

This paper revisits Moliere's multiple scattering theory, focusing on refining the calculation of the screening angular parameter and assessing the theory's accuracy with Coulomb corrections.

Contribution

It introduces a universal form of Coulomb corrections and evaluates the accuracy of Moliere's theory in determining the screening angle.

Findings

Derived a universal Coulomb correction for the screening angle

Assessed the accuracy of Moliere's theory in small-angle approximation

Discussed the exponential distribution function and angular distribution improvements

Abstract

A part of Moliere's multiple scattering theory concerning the determination of the screening angular parameter is revised. An universal form of the Coulomb corrections to the screening angle, the exponential part of the distribution function, and the angular distribution is discussed within the small-angle approximation of this theory. The accuracy of the Moliere theory in determining the screening angle is estimated.