Abstract
An adaptation of the mapped Fourier grid method for the Dirac equation is applied to the problem of positron production in quasi-molecular collisions between fully stripped heavy ions with super-critical Coulomb fields. The resonance parameters for the 1Sσ vacancy which dives into the filled negative-energy continuum are calculated on the basis of the two similar analytic continuation methods of smooth exterior scaling and complex absorbing potential with Padé extrapolation. Previous results in monopole approximation for the U-Cf system as a function of internuclear separation are extended to a coupled-channel approximation to investigate resonance broadening. Calculations for dynamical positron production on the basis of the time-dependent Dirac equation for U-U collisions with artificially delayed nuclear trajectories are also presented, and explanations for the observed positron spectrum are provided.
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