Energy levels and classifications of doubly-excited states in two-electron systems with nuclear charge, Z = 1, 2, 3, 4, 5, below the N = 2 and N = 3 thresholds

Lipsky, Lester; Anania, Russell; Conneely, M. J.

doi:10.1016/0092-640x(77)90042-0

Cited by 245 publications

(123 citation statements)

References 24 publications

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“…; this is in good agreement with the value −0.7685 a.u. reported by the Lipsky et al [50] and the −0.7776 a.u. reported by Dulieu and Le Sech [51].…”

mentioning

confidence: 72%

Ground and excited states for exotic three-body atomic systems

Ancarani¹,

Rodriguez

Gasaneo

2010

EPJ Web of Conferences

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Abstract. An Angular Correlated Configuration Interaction method is extended and applied to exotic threebody atomic systems with general masses. A recently proposed angularly correlated basis set is used to construct, simultaneously and with a single diagonalization, ground and excited states wave functions which: (i) satisfy exactly Kato cusp conditions at the two-body coalescence points; (ii) have only linear parameters; (iii) show a fast convergency rate for the energy; (iv) form an orthogonal set. The efficiency of the construction is illustrated by the study a variety of three-body atomic systems [m 1 S and several excited n 1,3 S state energies are compared with those given in the literature, when available. We also present a short discussion on the critical charge necessary to get a stable three-body system supporting two electrons, an electron and a muon, or two muons.

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“…; this is in good agreement with the value −0.7685 a.u. reported by the Lipsky et al [50] and the −0.7776 a.u. reported by Dulieu and Le Sech [51].…”

mentioning

confidence: 72%

Ground and excited states for exotic three-body atomic systems

Ancarani¹,

Rodriguez

Gasaneo

2010

EPJ Web of Conferences

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“…The diagonalization method is in principle cruder but easier to use than more sophisticated methods like numerical or analytic selfconsistent field approaches, and it has been used by many authors (e.g. [5][6][7][8]). This method has been developed in the frame of the Feshbach formalism and applied to the case of two active electron systems.…”

Section: Theorymentioning

confidence: 99%

Resonance energies and autoionization widths of the , and doubly excited states of the helium isoelectronic sequence

Themelis

2010

Physics Letters A

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“…The one based on collisional approach treats the doubly excited states as quasi bound resonances embedded in scattering continuum. The close coupling method by Burkey and Taylor [37], Macek [38], Callaway [39] and Feshbach projection operator method and its different variants by Bhatia [40], Bhatia and Temkin [41], Lipski et al [42], Chung [43], Chung and Davies [44], Bachau [45], Oza [46], Macias et al [47] and Martin et al [48,49] are quite effective in calculating the position and width of the resonances. The other approach treats the doubly excited states as temporary bound states embedded in the continuum and accurate calculations were performed by the configuration interaction (CI) approach [14,[50][51][52], complex coordinate method by Ho and coworkers [53,54] and by hyperspherical coordinate approach [35,[55][56][57].…”

Section: Introductionmentioning

confidence: 99%

Doubly excited states of highly stripped ions: a time dependent perturbation approach

Mukherjee

1997

Z Phys D - Atoms, Molecules and Clusters

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Doubly excited singlet states have been calculated for the astrophysically important highly stripped He like ions Al>, Si>, P>, S> and Cl> for the transitions 2s: S , 2p: D , 2snp: P, 2snd: D and 2pnd: F for n45. The transition energies are obtained from the position of resonances in the oscillations of the two electron charge cloud under an external harmonic perturbation. Linearised version of a suitably constructed variational functional is used for obtaining the response properties of the system. Most of the results are new. Agreement with the only few existing experimental data along this line is very reasonable. Analytic representations of the doubly excited states are obtained and the Coulomb repulsion integral in these states are estimated for checking the consistency of the wavefunctions. The doubly excited state wavefunctions so obtained may be used for evaluating other physical properties connected with transitions.

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Energy levels and classifications of doubly-excited states in two-electron systems with nuclear charge, Z = 1, 2, 3, 4, 5, below the N = 2 and N = 3 thresholds

Cited by 245 publications

References 24 publications

Ground and excited states for exotic three-body atomic systems

Ground and excited states for exotic three-body atomic systems

Resonance energies and autoionization widths of the , and doubly excited states of the helium isoelectronic sequence

Doubly excited states of highly stripped ions: a time dependent perturbation approach

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