Green's function for multielectron ions and its application to radiative recombination involving dielectronic recombinations

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X. M. Tong,^1,2 N. Nakamura,³ S. Ohtani,^3,4 T. Watanabe,^3,5 and N. Toshima¹
¹Institute of Materials Science, Graduate School of Pure and Applied Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
²Center for Computational Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8577, Japan
³Institute for Laser Science, The University of Electro-Communications, Chofu, Tokyo 182-8585, Japan
⁴CREST, Japan Science and Technology Agency, Chofu, Tokyo 182-8585, Japan
⁵Department of Physics, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji, Tokyo 192-0364, Japan

Received 23 March 2009; published 6 October 2009

Wepropose a general method to calculate the full Green's functionof multielectron atomic ions. The key point exists in theusage of L² integrable functions as a complete basis setin a finite region together with an optical potential toguaranty the outgoing scattering boundary condition. In such a way,the cumbersome procedure of adjusting boundary conditions in solving thedifferential Schrödinger equation is avoided. To show the validity ofthe method, we studied the radiative recombination involving dielectronic recombinationsof Be-like Hg (Z=80) ions. The radiative damping effect istaken into account naturally in the present method. The calculatedresults reproduce well the asymmetric line profile observed in theexperiments.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.80.042502
DOI:	10.1103/PhysRevA.80.042502
PACS:	32.70.-n; 31.15.-p; 25.40.Lw; 32.80.Zb 32.70.-n Intensities and shapes of atomic spectral lines 31.15.-p Calculations and mathematical techniques in atomic and molecular physics 25.40.Lw Nucleon radiative capture 32.80.Zb Atomic autoionization YEAR: 2009
KEYWORDS:	atom-electron collisions, Green's function methods, ion recombination, mercury (metal), radiative corrections, Schrodinger equation

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