Accurate nonrelativistic energies for some doubly excited Pe states of He

Hilger, Ralf A.; Kleindienst, Heinz

doi:10.1016/0009-2614(96)01071-8

Cited by 16 publications

(18 citation statements)

References 14 publications

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“…Recently, a study [1] on the doubly excited 3 P e states of helium using the stabilization method reports some resonance states that are not in conformity with previously published works [2] using the complex-coordinate rotation (CCR) method. This study [1] also reported metastable bound state energies much lower than the best reported results [3]. The main purpose of this Comment is to clarify the discrepancies of the results reported in recent works [1].…”

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confidence: 51%

“…The 3 P e resonance energies of He below the N = 3 He + threshold have also been reported [15]. Besides such theoretical developments, several experiments have also been performed on the doubly excited 3 P e state ( [16,17], and references therein).…”

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confidence: 95%

“…Owing to experimental interest in 3 P e states, and to the discrepancy of a recent work [1] with previously published work [2], it is important to reinvestigate the doubly excited 3 P e states using a different type of correlated wave function. Details on the doubly excited nonautoionizing and autoionizing states can be found in earlier works [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”

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confidence: 99%

“…To classify the resonance states below the N = 4 and N = 5 thresholds, we have calculated the effective widths, (n * ) 3 . The effective quantum number (n * ) for 3 P e resonance states are obtained using the formula where N, E, and Z denote the inner electron quantum number, the energy of the state below the total ionization, and the atomic number, respectively.…”

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confidence: 99%

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Comment on “Doubly excited bound and resonance (3Pe) states of helium”

Kar¹,

Ho²

2010

Phys. Rev. A

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Recently a study [J. K. Saha and T. K. Mukherjee, Phys. Rev. A 80, 022513 (2009)] on the doubly excited 3 P e states of helium reports some resonance states that are not in conformity with previously published works [Y. K. Ho and A. K. Bhatia, Phys. Rev. A 47, 2628 (1993)]. Owing to discrepancies between the works, we investigate the resonance parameters (positions and widths) of the doubly excited Feshbach resonances of the 3 P e symmetries associated with N = 3, 4, and 5 He + thresholds using a different choice of correlated wave functions in the framework of the complex-coordinate rotation method and the stabilization method. Resonance parameters below the N = 4 and N = 5 He + thresholds obtained from the present calculations are not consistent with the results and discussions made in the recent work. Here we point out an error in assessment made by Saha and Mukherjee in an earlier work as well as the lack of numerical accuracy of the results for some high-lying doubly excited states reported by Saha and Mukherjee. The bound 2p 2 3 P e and 2p3p 3 P e state energies obtained from this calculation are consistent with the best reported results but not with the reported values of Saha and Mukherjee.

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confidence: 51%

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confidence: 95%

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confidence: 99%

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Comment on “Doubly excited bound and resonance (3Pe) states of helium”

Kar¹,

Ho²

2010

Phys. Rev. A

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“…Due to the abundance of doubly excited states in astrophysical plasmas 30 and due to the advancement in the production of helium-like ions in laser plasmas in the laboratory, 31 it is of great interest to study nonautoionizing doubly excited states energies and wavelengths for helium-like ions embedded in Debye plasma. In free atomic cases, several theoretical [32][33][34][35][36][37][38][39][40] and experimental studies [41][42][43][44][45] have been performed on the doubly excited nonautoionizing states of helium and helium-like ions. Very recently, we have reported results for doubly excited states of helium and helium-like ions.…”

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Energies and transition wavelengths for Li II, Be III, B IV, C V embedded in Debye plasmas

Jiang

Kar

2012

Physics of Plasmas

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We have carried out non-relativistic calculations to investigate the effect of Debye plasmas screening on the doubly excited nonautoionizing 1,3 P e and 1,3 D o states of Li II, Be III, B IV, and C V using highly correlated exponential wave functions within the framework of Ritz variational principle. The 2p 2 3 P e , 2p3p 1 P e , and 2p3d 1,3 D o states energies, and wavelengths for the 2p3p 1 P e ! 2p3d 1 D o , 2p 2 3 P e ! 2p3d 3 D o , 2p3p 3 P e ! 2p3d 3 D o , and 2p3p 3 P e ! 2p3d 3 D o transitions for different Debye lengths are reported. Comparisons are made with the existing results. Results for B IV and C V for different screening parameters are reported for the first time in the literature. Transition wavelengths show interesting behavior with increasing screening parameters and nuclear charge. V C 2012 American Institute of Physics. [http://dx.

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Unexpected properties of non‐autoionizing doubly excited states of the H₂ molecule

Corongiu

2016

Int J of Quantum Chemistry

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We present accurate calculations of the non‐autoionizing Σ1,3g− and Σ1,3u− doubly excited states of the H2 molecule using full configuration interaction with Hartree–Fock molecular orbitals and Heitler–London atomic orbitals. We consider the united atom configurations from He(2p2p) up to He(2p8g) and dissociation products from H2(2p + 2p) up to H2(2p + 6ℓ). Born–Oppenheimer calculations are carried out with extended and optimized Slater‐type orbitals for a total of 40 states, 10 for each symmetry, covering the internuclear distances from the united atom to dissociation, which, for some states, is reached beyond 100 a0. Occurrences of repulsive states cleanly interlaced between bound states with many vibrational levels are reported. Some of the potential minima are deep enough to accommodate many vibrational levels (up to 50). Noteworthy large equilibrium minima, like Req = 46.0 a0 in the Σ3u− state dissociating as (2p + 6h) and with 18 vibrational levels. The occurrence of vertical excitations from the singly excited manifolds is analyzed. Several states present double minima generated by avoided crossings, some with a strong ionic character. © 2016 Wiley Periodicals, Inc.

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Accurate nonrelativistic energies for some doubly excited Pe states of He

Cited by 16 publications

References 14 publications

Comment on “Doubly excited bound and resonance (3Pe) states of helium”

Comment on “Doubly excited bound and resonance (3Pe) states of helium”

Energies and transition wavelengths for Li II, Be III, B IV, C V embedded in Debye plasmas

Unexpected properties of non‐autoionizing doubly excited states of the H₂ molecule

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Accurate nonrelativistic energies for some doubly excited Pe states of He

Cited by 16 publications

References 14 publications

Comment on “Doubly excited bound and resonance (3Pe) states of helium”

Comment on “Doubly excited bound and resonance (3Pe) states of helium”

Energies and transition wavelengths for Li II, Be III, B IV, C V embedded in Debye plasmas

Unexpected properties of non‐autoionizing doubly excited states of the H2 molecule

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Unexpected properties of non‐autoionizing doubly excited states of the H₂ molecule