Doubly excited1Sestates of H-and He below the N hydrogenic thresholds with N⩽6

Koyama, Naoto; Fukuda, Hiroshi; Motoyama, Takashi; Matsuzawa, Michio

doi:10.1088/0022-3700/19/10/001

Cited by 60 publications

(14 citation statements)

References 25 publications

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“…Correlated wave functions of Hylleraas type are introduced in the complex coordinates method which is commonly used in extensive calculations of energy levels of two-electron systems [9]. In the hyperspherical approach and in the Wannier theory [10][11][12][13] electron correlation is analyzed in terms of the hypersphericat coordinates. The group theory is used to build "doubly-excited states basis", [14][15][16][17] involving an approximate treatment of the electron correlation as a O (4).…”

Section: Introductionmentioning

confidence: 99%

Description of interelectronic correlation with the Pluvinage method

Dulieu¹,

Sech²

1989

Z Phys D - Atoms, Molecules and Clusters

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A correlated wave function method, already used for two-electron molecular systems is extended here to the case of two-electron atomic systems. A careful investigation of some exact properties of the wave function is performed (Kato's conditions, Fock's development, fulfilment of the virial theorem), showing its good behaviour at small interelectronic distances or in strongly correlated states. The application to Helium and Hdoubly-excited states is developed as a preliminary case of a more general study concerned with alkali-negative ions featuring in the second paper of this series. Energies and some autoionizing widths of He and H -are calculated. Given the simplicity of our model, close agreement is found in all cases with experimental and other theoretical works. This provides a confirmation of the large application field of this method to general correlated two-electron systems.

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Section: Introductionmentioning

confidence: 99%

Description of interelectronic correlation with the Pluvinage method

Dulieu¹,

Sech²

1989

Z Phys D - Atoms, Molecules and Clusters

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“…23; −E a : Roy et al [15]; −E b : Lipsky et al [35]. [44]; E b : Oza [33]; E c : Koyama et al [46]; E d : Experimental value of Hicks and Comer [7]; E e : Roy et al [15]; E f : Ray and Mukherjee [25]; E g : Lipsky et al [35]; E h : Macias and Riera [21]; E i : Conneely and Lipsky [20]; E j : Bhatia [41]; E k : Ho [18]; E l : Sakho [24]; E m : Ivanov and Safronova [36]. Journal of Modern Physics Table 12.…”

Section: Resultsmentioning

confidence: 99%

Variational Calculations of Energies of the (2snl) 1,3Lπ and (2pnl) 1,3 LπDoubly Excited States in Two-Electron Systems Applying the Screening Constant per Unit Nuclear Charge

Gning¹,

Sakho²,

Faye³

et al. 2021

JMP

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In this paper, resonance energies and excitation energies of doubly 2sns 1,3 S e , 2snp 1,3 P 0 , 2pnp 1,3 D e , 2pnd 1,3 F 0 and 2pnf 1,3 G e excited states of the helium isoelectronic sequence with Z ≤ 10 are calculated. Calculations are carried out in the framework of the variational procedure of the formalism of the Screening Constant per Unit Nuclear Charge (SCUNC). New correlated wave function of Hylleraas type is used. Precise resonance and excitation energies are tabulated and good agreement is obtained when a comparison is made with available literature values.

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“…This is due to the fact that all the intrashell resonances have ν (or A) = +1 and they are not allowed to cross each other within the manifold converging to a given H (N) limit [7]. The hyperspherical analysis by Koyama et al [55,56] has also demonstrated the strong nonadiabatic couplings of potential curves belonging to different thresholds at the avoided crossings.…”

Section: Resultsmentioning

confidence: 99%

Complete supermultiplet structures for the doubly excited intrashell resonances ofH−associated with the H (N=2, 3, and 4) thresholds

Jiao

2014

Phys. Rev. A

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We present a detailed investigation of the supermultiplet structures for the intrashell resonances of H − , classified according to their approximate quantum numbers. The resonance energies and widths are calculated by employing the complex-scaling method with configuration-interaction basis functions, and our results are compared with previous available calculations. The complete I -supermultiplet structures are constructed for the intrashell resonances associated with the H (N = 2, 3, and 4) thresholds. They include the doubly excited states of H − with a variety of configuration symmetries showing both Feshbach and shape types. It is found that the H − (N = 4) supermultiplet has upper portions exceeding the H (N = 5) threshold. This phenomenon should be useful in predicting the supermultiplet structures associated with higher-lying thresholds.

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Doubly excited¹S^estates of H^-and He below the N hydrogenic thresholds with N⩽6

Cited by 60 publications

References 25 publications

Description of interelectronic correlation with the Pluvinage method

Description of interelectronic correlation with the Pluvinage method

Variational Calculations of Energies of the (2<i>snl</i>) <sup>1,3</sup><i>L<sup>π</sup></i> and (2<i>pnl</i>) <sup>1,3 </sup><i>L<sup>π</sup></i>Doubly Excited States in Two-Electron Systems Applying the Screening Constant per Unit Nuclear Charge

Complete supermultiplet structures for the doubly excited intrashell resonances ofH−associated with the H (N=2, 3, and 4) thresholds

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