# Coulomb effects in high-energy $e^+e^-$ electroproduction by a heavy charged particles in an atomic field

## TL;DR

This paper investigates how Coulomb interactions influence high-energy electron-positron pair production by heavy charged particles in atomic fields, revealing that differential cross sections are significantly affected by these interactions, unlike the integrated cross sections.

## Contribution

It provides an exact calculation of the cross section considering Coulomb interactions, challenging previous assumptions about the independence of integrated cross sections from these effects.

## Key findings

- Differential cross sections are strongly affected by Coulomb interactions.
- Integrated cross sections are independent of Coulomb interactions.
- The calculation is performed exactly in the atomic field parameters.

## Abstract

The cross section of high-energy $e^+e^-$ pair production by a heavy charged particle in the atomic field is investigated in detail. We take into account the interaction with the atomic field of $e^+e^-$ pair and a heavy particle as well. The calculation is performed exactly in the parameters of the atomic field. It is shown that, in contrast to the commonly accepted point of view, the cross section differential with respect to the final momentum of a heavy particle is strongly affected by the interaction of a heavy particle with the atomic field. However, the cross section integrated over the final momentum of a heavy particle is independent of this interaction.