Corrections to the Bethe formula for average ionization energy loss of relativistic charged particles in solids. I. Mott's corrections

TL;DR

This paper presents a new series-based approach to calculating Mott corrections to the Bethe stopping formula, providing numerical results across various nuclear charges and velocities for relativistic charged particles in solids.

Contribution

It introduces a rapidly convergent series representation of Mott corrections and performs extensive numerical calculations for different particle charges and velocities.

Findings

Accurate numerical values of Mott corrections for a wide range of parameters.

Demonstrates the effectiveness of the series representation for practical calculations.

Provides insights into the behavior of ionization energy loss in solids.

Abstract

Based on the proposed representation of the Mott corrections to the Bethe stopping formula in the form of rapidly convergent series of quantities bilinear in the Mott partial amplitudes, the numerical calculations were performed for these corrections over a wide range of nuclear charge number of the incident particles at various values of their relative velocity.