# Dimesoatom breakup in the Coulomb field

## TL;DR

This paper analyzes the breakup of elementary mesonic atoms in a Coulomb field, deriving cross sections considering single-photon and multi-photon exchanges, with implications for understanding atomic ionization processes.

## Contribution

It provides a detailed analytical framework for calculating mesonic atom breakup cross sections in Coulomb fields, incorporating screening effects and multi-photon exchanges.

## Key findings

- Cross sections expressed as a sum of two terms for different momentum regions.
- Single-photon exchange dominates at small transfer momenta with screening effects.
- Multi-photon exchanges are significant at large transfer momenta, allowing analytical solutions.

## Abstract

Momentum and angular distributions of charged meson pairs $h^+h^-$ ($h=\pi, K$) from elementary atoms (EA) breakup (ionization) in the Coulomb field of a target atom is considered in the Born and Glauber approximations. Exploiting the fact that the atomic screening of the target Coulomb potential is important at small transfer momenta, while multi-photon exchanges are essential at large transfer momenta we express the cross sections of EA breakup as a sum of two terms. In the region of modest transfer momenta the cross section is determined by the single-photon exchange (first Born approximation) accounting for the target atoms screening, whereas at large transfer momenta using the unscreened potential allows to take into account all multi-photon exchanges and obtain the cross section of EA breakup in the close analytical form.