Electron-positron pair production in slow collisions of heavy nuclei beyond the monopole approximation

TL;DR

This paper investigates electron-positron pair production during slow heavy nuclei collisions beyond the monopole approximation by numerically solving the time-dependent Dirac equation with a two-center potential, providing detailed spectra and probabilities.

Contribution

It introduces a method to compute pair production in heavy nuclei collisions beyond the monopole approximation using full two-center potential solutions.

Findings

Calculated pair-production probabilities and spectra for uranium collisions.

Compared results with monopole approximation to assess accuracy.

Provided detailed energy spectra of emitted positrons.

Abstract

Electron-positron pair production in low-energy collisions of heavy nuclei is considered beyond the monopole approximation. The calculation method is based on the numerical solving of the time-dependent Dirac equation with the full two-center potential. Bound-free and free-free pair-production probabilities as well as the energy spectra of the emitted positrons are calculated for the collisions of bare uranium nuclei. The calculations are performed for collision energy near the Coulomb barrier for different values of the impact parameter. The obtained results are compared with the corresponding values calculated in the monopole approximation.