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 (2)

• Relativistic calculations of the ground state energies and the critical distances for one-electron homonuclear quasi-molecules
• Spontaneous vacuum decay in low-energy collisions of heavy nuclei beyond the monopole approximation