Publication: Supercritical Dirac resonance parameters from extrapolated analytic continuation methods

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Title	Supercritical Dirac resonance parameters from extrapolated analytic continuation methods
Authors/Editors*	Edward Ackad, Marko Horbatsch
Where published*	Physical Review A
How published*	Journal
Year*	2007
Volume	76
Number
Pages	022503(1-7)
Publisher	American Institute of Physics
Keywords	Dirac equation, resonance calculation, vacuum decay
Link	http://link.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=PLRAAN000076000002022503000001
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 U92+ - Cf98+ system at an internuclear separation of R = 20 fm. PadÂ´e 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 per mille level when the nuclei are almost in contact, and at the % level for R values where the 1Ssigma state enters the negative continuum.