Saddle-point complex-rotation method for resonances

Chung, Kwong T.; Davis, Brian F.

doi:10.1103/physreva.26.3278

Cited by 96 publications

(34 citation statements)

References 22 publications

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“…The external complex scaling technique [18,19] was implemented by Chung and Davis [20] in connection with the saddlepoint technique to describe the open-channel parts of the wave function. Then the resonance states could be described by square integrable eigenfunctions.…”

Section: Methodsmentioning

confidence: 99%

Energies and the radiative and Auger transition rates of1s2p4resonances of B-like ions

2013

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Energy levels and the radiative and Auger transition rates of the 1s2p 4 2,4 L (L = S, P , D) resonances in the boron isoelectronic sequence are calculated using the saddle-point variation and saddle-point complex-rotation methods. Large-scale wave functions are used to saturate the functional space. Relativistic and mass polarization corrections are included by the first-order perturbation theory. The Auger branching ratios of the important decay channels for these core-excited states are calculated. The reliable transition wavelengths and Auger electron energies are used to identify available x-ray spectra and Auger electron spectra. Identifications of several unknown experimental lines from 1s2p 4 resonances are reported. The total radiative rates and total Auger rates of these 1s2p 4 resonances are also reported and discussed along with the increase of atomic number Z. It is found that the total Auger rates are several orders of magnitude greater than the total radiative rates in these low-Z ions.

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Section: Methodsmentioning

confidence: 99%

Energies and the radiative and Auger transition rates of1s2p4resonances of B-like ions

2013

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“…In their work, the uncertainties of the nonrelativistic energy are predicted to about 3-7 cm The accurate calculation of the three-electron autoionizing states is more challenging. Although the saddlepoint method [21] and the saddle-point complex-rotation method [22] provided powerful tools for these states, the methods have not been carried out to their potential partly due to the limited computation resources in the past.…”

Section: Introductionmentioning

confidence: 99%

Absolute term energy of core-excited doublet states of lithium

Chen

Chung

1994

Phys. Rev. A

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Thirteen core-excited lithium doublet states of the P, P', D, and D' symmetries are calculated with a multiconSguration-interaction wave function. A variation method is used for the bound states whereas the saddle-point and saddle-point complex-rotation methods are used for the autoionizing states. A restricted variation method is used for the saturated wave functions. Fine structures, relativistic corrections, and mass polarization corrections are calculated. The quantum electrodynamic corrections are also estimated. The absolute term energy is predicted with an uncertainty which is much smaller than that in the literature. Among these core-excited states, ten doublet-doublet transitions and one doubletquartet transition have been measured. The largest error bar for the transition energy has been 6.2 cm whereas others range from 0.5 to 3.3 cm . Our predicted transition wavelengths agree with the experiment for 10 of the 11 transitions. The only discrepancy is about 2 cm . In the case where there is a disagreement between different experiments, our results show a clear preference in the comparison. The transition rates calculated in this work suggest that other spectral lines may &iso be observed in future experiments.

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“…These calculations have been used to identify excited states and Auger lines seen in experiments [40 -42]. Chung and Davis [43] have incorporated the saddle-point method with the complex rotation method to calculate the Auger width [44] or the spin-induced width [45] of some atomic ions. Many of these predictions were verified by precise experiments [13,46,47].…”

Section: Electronmentioning

confidence: 99%

Three-electron systems with inner-shell vacancies

1992

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A computational method is described for obtaining inner-shell-vacancy states of three-electron atoms which combines a block-diagonalization procedure with generalized Feshbach projection operators applicable to systems with three or more electrons. Typically, the accuracy is about 1.5 parts per thousand (6E/E=1. 5 X10 '). The strength of the method is that it provides many energy levels for each Rydberg series. A quantum-defect analysis is then applied that identifies the members of each series and yields reliable quantum defects and series limits. The method is particularly important in symmetries for which multiple Rydberg series exist. The present work reports on P' states of three-electron systems with 3 Z 10, which are compared with other calculations. The energies of S' states of C'+ are also presented as an example requiring both the multielectron Feshbach projection operators and the quantum-defect analysis developed here. Four distinct Rydberg series are found for this case and their series limits obtained.PACS number(s): 32.30. -r, 32.80.Dz, 31.50.+ w, 31.20.Tz

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Saddle-point complex-rotation method for resonances

Cited by 96 publications

References 22 publications

Energies and the radiative and Auger transition rates of1s2p4resonances of B-like ions

Energies and the radiative and Auger transition rates of1s2p4resonances of B-like ions

Absolute term energy of core-excited doublet states of lithium

Three-electron systems with inner-shell vacancies

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