Double Electron–Positron Pair Production with Two-electron Capture in Relativistic Heavy-ion Collisions

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.