Statistics – Computation
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21841012d&link_type=abstract
American Astronomical Society, AAS Meeting #218, #410.12; Bulletin of the American Astronomical Society, Vol. 43, 2011
Statistics
Computation
Scientific paper
Reliable ionization balance calculations are central for analyzing cosmic spectra, in particular in deriving elemental abundances. One of the important atomic processes governing ionic charge abundances in plasmas is dielectronic recombination (DR).
The DR process is a resonant process: cross-section spikes at electron kinetic energies that are resonant with internal transitions between bound ionic states. As a result, the DR rate coefficients, entering, e.g., plasma ionization stage calculations, are exponentially sensitive to uncertainties in energies of resonances. Because of this exponential sensitivity, there is an outstanding and astrophysically-relevant problem: a reliable description of the DR at low temperatures.
A high-precision description of low-energy resonances is particularly challenging as it is sensitive to atomic correlations. All the existing approaches have difficulties in reliably describing the low-temperature DR. Here we build on modern advances in atomic many body theory and present a new approach to low-temperature DR: relativistic configuration-interaction method coupled with many-body perturbation theory (CI+MBPT). We further combine the CI+MBPT approach with the complex rotation method (CRM). We demonstrate the utility of the CI+MBPT+CRM and evaluate the accuracy of this newly-developed approach by comparing our results with those from the previous high-precision study for Li-like carbon recombining into Be-like carbon. We find excellent agreement with that work.
While our first application of the CI+MBPT+CRM code targeted divalent ion, our developed methodology and computational toolbox is well suited for exploring resonances in more complicated systems with several valence electrons outside closed-shell core.
Details may be found in Phys. Rev. A 82, 022720 (2010).
Derevianko Andrei
Dzuba V. A.
Kozlov MiKhail G.
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