Positron supercritical resonances and spontaneous positron creation in slow collisions of heavy nuclei

Abstract

We present a theoretical and computational study of positron supercritical resonances in systems consisting of two highly-charged bare nuclei. The resonance positions and widths depending on the internuclear separation are calculated with the help of the complex-scaling generalized pseudospectral method in modified prolate spheroidal coordinates. The results are applied to estimate the probability of spontaneous positron creation in slow U${}^{92+}$--U${}^{92+}$ and Cm${}^{96+}$--Cm${}^{96+}$ collisions.

References in corpus (8)

• Model operator approach to the Lamb shift calculations in relativistic many-electron atoms
• How to observe the vacuum decay in low-energy heavy-ion collisions
• How to access QED at supercritical Coulomb field
• Resonances in positron scattering on a supercritical nucleus and spontaneous production of $e^{+}{e}^{-}$ pairs
• Relativistic calculations of the ground state energies and the critical distances for one-electron homonuclear quasi-molecules
• 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
• QED with heavy ions: on the way from strong to supercritical fields