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Ab initio study of high-lying doubly excited states of helium in static electric fields: Complex-scaling generalized pseudospectral method in hyperspherical coordinates

Chu, Shih-I
Heslar, John
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Abstract
We present a complex-scaling (CS) generalized pseudospectral (GPS) method in hyperspherical coordinates (HSC) for ab initio and accurate treatment of the resonance energies and autoionization widths of two-electron atomic systems in the presence of a strong dc electric field. The GPS method allows nonuniform and optimal spatial discretization of the two-electron Hamiltonian in HSC with the use of only a modest number of grid points. The procedure is applied for the first precision calculation of the energies and autoionization widths for the high-lying 1Se, 1Po, 1De, and 1Fo (n=10–20) doubly excited resonance states of He atoms. In addition, we present a theoretical prediction of the energies and widths of high-lying doubly excited resonance states of 1Po (n= 8–15) in external dc electric field strengths of 3.915–10.44 kV/cm. The calculated dc-field perturbed high-lying resonance energies are in good agreement with the latest experimental data.
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This is the published version, also available here: http://dx.doi.org/10.1103/PhysRevA.86.032506.
Date
2012-09-21
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American Physical Society
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Chu, Shih-I. & Heslar, John. "Ab initio study of high-lying doubly excited states of helium in static electric fields: Complex-scaling generalized pseudospectral method in hyperspherical coordinates." Phys. Rev. A 86, 032506 – Published 21 September 2012. http://dx.doi.org/10.1103/PhysRevA.86.032506.
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