Regular Article

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

¹ Department of Physics, St. Petersburg State University, 199034 St. Petersburg, Russia
² NRC “Kurchatov Institute” – ITEP, 117218 Moscow, Russia
³ Center for Advanced Studies, Peter the Great St. Petersburg Polytechnic University, 195251 St. Petersburg, Russia
⁴ Institute of Modern Physics, Chinese Academy of Sciences, 730000 Lanzhou, P.R. China
⁵ Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
⁶ GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
⁷ Helmholtz-Institute Jena, 07743 Jena, Germany
⁸ Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität, 07743 Jena, Germany

^a e-mail: st016948@student.spbu.ru

Received: 8 February 2018
Received in final form: 17 April 2018
Published online: 14 June 2018

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.