On the Chudakov effect for the most probable value of high-energy electron-positron pair ionization loss in thin targets

TL;DR

This paper derives an expression for the most probable ionization loss of high-energy electron-positron pairs in thin targets, highlighting how the Chudakov effect influences the most probable value differently from the mean loss.

Contribution

It introduces a new distribution function for pair ionization loss and provides an explicit formula for the most probable loss considering the Chudakov effect.

Findings

Derived an analogue of the Landau distribution for pair ionization loss.

Obtained an expression for the most probable ionization loss $E_{MP}$.

Showed the Chudakov effect impacts the most probable loss differently from the mean loss.

Abstract

The ionization loss of a high-energy electron-positron pair in thin targets is considered. The analogue of the Landau distribution function is derived for this loss under the condition when the Chudakov effect of the pair ionization loss suppression is manifested. Expression for the most probable value of the pair ionization loss $E_{MP}$ is obtained. It is shown that the magnitude of Chudakov effect for $E_{MP}$ can be noticeably different from the magnitude of this effect for the restricted mean value of the pair ionization loss.