全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用：99美元
投递稿件

查看量下载量

相关文章

更多...

Calculation of Resonance Energies of 1,3P0, 1,3De, 1,3F0, 1,3Ge, 1,3H0 Doubly Excited States of Helium-Like Ions Systems Associated with n = 2, 3 and n = 4 Hydrogenic Thresholds Using the Hylleraas-Type Wave Functions

DOI: 10.4236/jamp.2026.142040, PP. 770-784

Keywords: Hylleraas Method, Helium-Like Ions Systems, Kinetic Energy, Electrons-Nucleus Interaction, Electron-Electron Interaction

Full-Text   Cite this paper   Add to My Lib

Abstract:

In this paper, the kinetic energy, the electrons-nucleus interaction energy, the electron-electron interaction energy and the total energy of doubly excited states of He-like ions are developed in the framework of the variational method using configuration interaction basis with a real Hamiltonian. Correlated Hylleraas-type wave functions are also used in this work in which several lower-lying doubly excited (nl1nl2; l1 ≠ l2) 1,3P0, 1,3De, 1,3F0, 1,3Ge, 1,3H0 intrashell resonances associated with n = 2, 3 and 4 thresholds up to Z = 10 are reported. The results obtained are compared with some theoretical calculations of the available literature.

 References

[1]  Madden, R.P. and Codling, K. (1963) New Autoionizing Atomic Energy Levels in He, Ne, and Ar. Physical Review Letters, 10, 516-518.
https://doi.org/10.1103/physrevlett.10.516
[2]  Madden, R.P. and Codling, K. (1965) Two-Electron Excitation States in Helium. The Astrophysical Journal, 141, 364-375.
https://doi.org/10.1086/148132
[3]  Cooper, J.W., Fano, U. and Prats, F. (1963) Classification of Two-Electron Excitation Levels of Helium. Physical Review Letters, 10, 518-521.
https://doi.org/10.1103/physrevlett.10.518
[4]  Parker, J.S., Doherty, B.J.S., Taylor, K.T., Schultz, K.D., Blaga, C.I. and DiMauro, L.F. (2006) High-Energy Cutoff in the Spectrum of Strong-Field Nonsequential Double Ionization. Physical Review Letters, 96, Article 133001.
https://doi.org/10.1103/physrevlett.96.133001
[5]  Nubbemeyer, T., Gorling, K., Saenz, A., Eichmann, U. and Sandner, W. (2008) Strong-field Tunneling without Ionization. Physical Review Letters, 101, Article 233001.
https://doi.org/10.1103/physrevlett.101.233001
[6]  Kahn, S.M. (1999) Recent Progress in X-Ray Spectroscopy of Astrophysical Plasmas. Physica Scripta, 80, Article 23.
https://doi.org/10.1238/physica.topical.080a00023
[7]  Faenov, A.Y. (1999) High Resolution X-Ray Spectroscopy of Laser Generated Plasmas. Physica Scripta, 80, Article 43.
https://doi.org/10.1238/physica.topical.080a00043
[8]  Herrick, D.R. and Sinanoǧlu, O. (1975) Comparison of Doubly-Excited Helium Energy Levels, Isoelectronic Series, Autoionization Lifetimes, and Group-Theoretical Configuration-Mixing Predictions with Large-Configuration-Interaction Calculations and Experimental Spectra. Physical Review A, 11, 97-110.
https://doi.org/10.1103/physreva.11.97
[9]  Kellman, M.E. and Herrick, D.R. (1980) Ro-Vibrational Collective Interpretation of Supermultiplet Classifications of Intrashell Levels of Two-Electron Atoms. Physical Review A, 22, 1536-1551.
https://doi.org/10.1103/physreva.22.1536
[10]  Herrick, D.R. (1982) New Symmetry Properties of Atoms and Molecules. Advances in Chemical Physics, 52, Article 1.
[11]  Oza, D.H. (1986) Phase Shifts and Resonances for Electron Scattering by He+ below the N=2 Threshold. Physical Review A, 33, Article 824.
[12]  Bhatia, A.K. and Temkin, A. (1975) Calculation of Autoionization of He and H− Using the Projection-Operator Formalism. Physical Review A, 11, Article 2018.
[13]  Seminario, J.M. and Sanders, F.C. (1990) Application of z-Dependent Perturbation Theory to Autoionizing States of Heliumlike Atoms: Feshbach Projection Method. Physical Review A, 42, 2562-2572.
https://doi.org/10.1103/physreva.42.2562
[14]  Manning, L.W. and Sanders, F.C. (1991) Complex Rotation Method Applied to z-Dependent Perturbation Theory: The 2s2p Autoionizing States of Two-Electron Atoms. Physical Review A, 44, 7206-7213.
https://doi.org/10.1103/physreva.44.7206
[15]  Bentley, M. (1990) Fully Numerical Complex-Coordinate Hartree-Fock Calculations for the He 2s2p 1,3P0 Autodetaching States. Physical Review A, 42, Article 3826.
[16]  Ho, Y.K. (1981) Complex-Coordinate Calculations for Doubly Excited States of Two-Electron Atoms. Physical Review A, 23, 2137-2149.
https://doi.org/10.1103/physreva.23.2137
[17]  Ho, Y.K. and Callaway, J. (1985) Doubly Excited States of Helium Atoms between the N=2 and N=3 He+Thresholds. Journal of Physics B: Atomic and Molecular Physics, 18, 3481-3486.
https://doi.org/10.1088/0022-3700/18/17/010
[18]  Wang, X., Jiang, Z., Kar, S. and Ho, Y.K. (2021) Doubly Excited 1Po Resonance States of Helium in Quantum Plasmas. Physics of Plasmas, 28, Article 022102.
https://doi.org/10.1063/5.0030014
[19]  Dieng, M. (2023) Variational Calculations for (ns2) 1Se, (np2) 1De and (nd2) 1Ge Resonance States for He Isoelectronic Sequences below the n=2, 3 and 4 Hydrogenic Thresholds. Journal of Modern Physics, 14, 1617-1633.
[20]  Fano, U. (1983) Correlations of Two Excited Electrons. Reports on Progress in Physics, 46, 97-165.
https://doi.org/10.1088/0034-4885/46/2/001
[21]  Schmid, E.W., Spitz, G. and Losch, W. (1987) Theoretical Physics on the Personal Computer. Springer.
https://link.springer.com/content/pdf
[22]  Biaye, M., Konté, A., Faye, N.A.B. and Wagué, A. (2001) Energies and Electron Correlation Effects in Two-Electron Doubly Excited (nl)2 States. The European Physical Journal D, 13, 21-25.
https://doi.org/10.1007/s100530170282
[23]  Hylleraas, E.A. and Undheim, B. (1930) Numerische Berechnung der 2S-Terme von Ortho-und Par-Helium. Zeitschrift für Physik, 65, 759-772.
[24]  Sakho, I., Ndao, A.S., Biaye, M. and Wagué, A. (2008) Screening Constant by Unit Nuclear Charge Calculations for (ns2) 1Se, (np2) 1De and (Nsnp) 1P0 Excited States of He-Like Systems. The European Physical Journal D, 47, 37-44.
https://doi.org/10.1140/epjd/e2008-00018-2
[25]  Sakho, I., Konté, A., Ndao, A.S., Biaye, M. and Wagué, A. (2008) Investigation of 2snp ±1,3P0 Resonances of Two-Electron Systems Using the Screening Constant by Nuclear Charge Method. Physica Scripta, 77, Article 055303.
https://doi.org/10.1088/0031-8949/77/05/055303
[26]  Ivanov, A.I. and Safronova, I.U. (1993) Calculation of the Correlation Part of the Energy of Two-Electron System. Optics and Spectroscopy, 75, 506.
[27]  Drake, G.W.F. and Dalgarno, A. (1971) A1/Z Expansion Study of the 2s2p1p and 3P Autoionizing Resonances of the Helium Isoelectronic Sequence. Proceedings of the Royal Society of London A, Mathematical and Physical Sciences, 320, 549-560.
https://doi.org/10.1098/rspa.1971.0009
[28]  Bachau, H., Martín, F., Riera, A. and Yáñez, M. (1991) Resonance Parameters and Properties of Helium-Like Doubly Excited States: 2 ≤ Z ≤ 10. Atomic Data and Nuclear Data Tables, 48, 167-212.
https://doi.org/10.1016/0092-640x(91)90006-p

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133