skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Supercritical Dirac resonance parameters from extrapolated analytic continuation methods

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{sup 92+}-Cf{sup 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 per mille level when the nuclei are almost in contact, and at the % level for R values where the 1S{sigma} state enters the negative continuum.

Authors:
;  [1]
  1. Department of Physics and Astronomy, York University, 4700 Keele Street, Toronto, Ontario, M3J 1P3 (Canada)
Publication Date:
OSTI Identifier:
21011414
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 76; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.76.022503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; APPROXIMATIONS; CALIFORNIUM; CATIONS; COMPLEXES; DIPOLES; DIRAC EQUATION; EXTRAPOLATION; GROUND STATES; MONOPOLES; NUCLEI; POTENTIAL ENERGY; POTENTIALS; QUADRUPOLES; RESONANCE; SCALING; STABILIZATION; SURFACES; URANIUM

Citation Formats

Ackad, Edward, and Horbatsch, Marko. Supercritical Dirac resonance parameters from extrapolated analytic continuation methods. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.022503.
Ackad, Edward, & Horbatsch, Marko. Supercritical Dirac resonance parameters from extrapolated analytic continuation methods. United States. https://doi.org/10.1103/PHYSREVA.76.022503
Ackad, Edward, and Horbatsch, Marko. 2007. "Supercritical Dirac resonance parameters from extrapolated analytic continuation methods". United States. https://doi.org/10.1103/PHYSREVA.76.022503.
@article{osti_21011414,
title = {Supercritical Dirac resonance parameters from extrapolated analytic continuation methods},
author = {Ackad, Edward and Horbatsch, Marko},
abstractNote = {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{sup 92+}-Cf{sup 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 per mille level when the nuclei are almost in contact, and at the % level for R values where the 1S{sigma} state enters the negative continuum.},
doi = {10.1103/PHYSREVA.76.022503},
url = {https://www.osti.gov/biblio/21011414}, journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 76,
place = {United States},
year = {Wed Aug 15 00:00:00 EDT 2007},
month = {Wed Aug 15 00:00:00 EDT 2007}
}