Supercritical Dirac resonance parameters from extrapolated analytic continuation methods
arXiv:0705.4318 · doi:10.1103/PhysRevA.76.022503
Abstract
The analytic continuation methods of complex scaling (CS), smooth exterior scaling (SES), and complex absorbing potential (CAP) are investigated for the supercritical quasimolecular ground state in the U(92+)-Cf(98+) system at an internuclear separation of R=20 fm. Pade approximants to the complex-energy trajectories are used to perform an extrapolation of the resonance energies, which, thus, become independent of the respective stabilization parameter. Within the monopole approximation to the two-center potential is demonstrated that the extrapolated results from SES and CAP are consistent to a high degree of accuracy. Extrapolated CAP calculations are extended to include dipole and quadrupole terms of the potential for a large range of internuclear separations R. These terms cause a broadening of the widths at the permille level when the nuclei are almost in contact, and at the % level for R values where the ground state enters the negative continuum.
20 pages, 3 figures, submitted to Physical Review A