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

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.

arXiv comment11 pages

References in corpus (7)

• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Calculation of electron-positron production in supercritical uranium-uranium collisions near the Coulomb barrier
• Electron-positron pair creation in low-energy collisions of heavy bare nuclei
• Solution of two-center time-dependent Dirac equation in spherical coordinates: Application of the multipole expansion of the electron-nuclei interaction
• Estimating the radiative part of QED effects in superheavy nuclear quasimolecules
• Electron-positron pair production in ion collisions at low velocity beyond Born approximation
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• Electron-positron vacuum instability in strong electric fields. Relativistic semiclassical approach
• Spontaneous vacuum decay in low-energy collisions of heavy nuclei beyond the monopole approximation
• Angular and energy distributions of positrons created in subcritical and supercritical slow collisions of heavy nuclei
• Three-dimensional calculations of positron creation in supercritical collisions of heavy nuclei
• The possibility to experimentally determine the structure of a fermionic vacuum in quantum electrodynamics