One-center calculations of the electron-positron pair creation in low-energy collisions of heavy bare nuclei

TL;DR

This paper presents detailed calculations of electron-positron pair creation probabilities during low-energy head-on collisions of bare uranium nuclei, using advanced numerical methods to solve the Dirac equation beyond simple approximations.

Contribution

It introduces a method to compute pair creation probabilities beyond the monopole approximation and analyzes energy dependence in such collisions.

Findings

Pair creation probabilities calculated beyond monopole approximation.

Energy dependence of cross section studied.

Numerical solutions of Dirac equation applied to heavy ion collisions.

Abstract

The probabilities of bound-free electron-positron pair creation are calculated for head-on collisions of bare uranium nuclei beyond the monopole approximation. The calculations are based on the numerical solving of the time-dependent Dirac equation in the target reference frame with multipole expansion of the projectile potential. In addition, the energy dependence of the pair-creation cross section is studied in the monopole approximation.