Double electron-positron pair production with two-electron capture in relativistic heavy-ion collisions

TL;DR

This paper calculates the cross section of double electron-positron pair production with two-electron capture in relativistic heavy-ion collisions at LHC energies, using perturbation theory and Monte Carlo methods to enhance understanding of strong QED effects.

Contribution

It introduces a detailed calculation of double pair production with two-electron capture at high energies, comparing results with existing literature to advance strong QED knowledge.

Findings

Calculated cross sections for double pair production with two-electron capture.

Used perturbation theory and Monte Carlo integration for Feynman diagram evaluation.

Results align with previous studies, providing new insights into strong QED phenomena.

Abstract

We calculated the cross section of double electron-positron pair production with two-electron capture for the collisions of Pb+Pb ions and we did our calculations at LHC energies. We applied a similar methodology for the calculation of bound-free electron-positron pair production. We used perturbation theory and implemented Monte Carlo integration techniques to calculate the lowest order Feynman diagrams. We also compared our double electron-positron pair production with two-electron capture cross section results obtained in the literature. These calculations may help us to learn more about strong QED.