Positron Supercritical Resonances and Spontaneous Positron Creation in Slow Collisions of Heavy Nuclei

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.