Calculations of Energy Levels of the Singly Excited States (1snl) 1,3Lp for Heliumlike Ions with Z ≤ 12
##plugins.themes.bootstrap3.article.main##
In this paper we present accurate calculated data of the energy levels of the 1snl1,3Lp states (l = s, p, d; n = 2 – 10) of helium and heliumlike ions up to Z = 12 using the variational approach of the Screening Constant by Unit Nuclear Charge (SCUNC) formalism. These calculations are performed by solving the time-independent Schrödinger equation using a new explicitly correlated wave function. A thorough comparison with theoretical predictions available in the literature for the energy levels of the singly excited 1sns1,3Se, 1snp1,3P0and 1snd1,3De Rydberg series is performed. Most of the tabulated results are generally in good agreement with the available reference data, confirming the reliability of our results. SCUNC predictions up to n = 10 may provide reliable atomic data for related experiments in the future.
References
-
Gning MT, Sakho I, Sow M. Calculations Energy of the (nl2) 1Lπ Doubly Excited States of Two-Electron Systems via the Screening Constant by Unit Nuclear Charge Formalism. Journal of Modern Physics, 2020 November 25; 11 (11): 1891- 1910.https://doi.org/10.4236/jmp.2020.1111118.
Google Scholar
1
-
Gning MT, Sakho I, Faye M, Sow M, Diop B, Badiane J K, Ba D, Diallo A. Variational Calculations of Energies of the (2snl) 1,3Lπ and (2pnl) 1,3Lπ Doubly Excited States in Two-Electron Systems Applying the Screening Constant per Unit Nuclear Charge. Journal of Modern Physics, 2021 February 26; 12(3): 328-352.https://doi.org/10.4236/jmp.2021.123024.
Google Scholar
2
-
Gning MT, Sakho I. Doubly-Excited 1,3Se, 1,3P0, 1,3De, 1,3F0 and 1,3Ge Resonances States of Two-Electron Atoms below the N = 3 – 8 Hydrogenic Thresholds. International Journal of Physics, 2022January 23; 10 (1): 23 - 48.DOI: 10.12691/ijp-10-1-2.
Google Scholar
3
-
Ivanov IA, Safronova UI. Calculation of the correlation part of the energy to two-electron systems. Optics and Spectroscopy, 1993 September; 75 (3): 506-516.
Google Scholar
4
-
Zhou Z, Chu C. Spin-dependent localized Hartree-Fock density-functional calculation of singly, doubly, and triply excited and Rydberg states of He- and Li-like ions. Physical Review A2005 February 28; 71(2):022513.DOI: https://doi.org/10.1103/PhysRevA.71.022513.
Google Scholar
5
-
Madden RP, Codling K. New Autoionizing Atomic Energy Levels in He, Ne, and Ar.Physical Review Letters, 1963;10(12): 516. Doi:https://doi.org/10.1103/PhysRevLett.10.516.
Google Scholar
6
-
Madden RP, Codling K. Two-Electron Excitation States in Helium.The Astrophysical Journal,1965:141, 364-375.https://doi.org/10.1086/148132.
Google Scholar
7
-
Balashov VV, Grishanova SI, Kruglova IM, Senashenko VS. Optics and Spectroscopy, 1970; T28: 858-868.
Google Scholar
8
-
Macek JH. Proceedings of the Physical Society of London,1967 92: 351.
Google Scholar
9
-
Ray D, Mukherjee PK. Doubly excited 1Se, 1De and 1Ge states of He, Li+, Be2+ and B3+. Journal of Physics B: Atomic, Molecular and Optical Physics, 1991 24 (6): 1241. DOI:https://doi.org/10.1088/0953-4075/24/6/013.
Google Scholar
10
-
Balslev E, Combes JM. Spectral properties of many-body Schrodinger operators with dilatation-analytic interactions. Communications in Mathematical Physics, 1971; December 22: 280-294. DOI: https://doi.org/10.1007/BF01877511.
Google Scholar
11
-
Hylleraas EA, Undheim B. Numerische Berechnung der 2S-Terme von orthound Par-Helium.Zeitschrift fur Physik,1930;65:759 -772. https://doi.org/10.1007/BF01397263.
Google Scholar
12
-
Zhang YZ, Jiao LG, Liu F, Liu AH, Ho YK. Energy levels of ground and singly excited states of two-electron atoms in dense quantum plasma. Atomic Data and Nuclear Data Tables, 2021; 40:101420. https://doi.org/10.1016/j.adt.2021.101420.
Google Scholar
13
-
Sakho I. A Modification of Atomic Orbital Theory and Its Application to (1snl) 1L and (nl2) L Excited States of He-Like Ions. Journal of Atomic and Molecular Sciences, 2010;1:103-117. DOI:10.4208/jams.022510.031010a.
Google Scholar
14
-
Ivanov AI, Safronova IU. Calculation of the Correlation Part of the Energy of Two-Electron Systems.Optics and Spectroscopy, 1993; 75: 298-304.
Google Scholar
15
-
Arias de Saavedra F, Porras I, Bueda E, Glvez JF, Porras I. Spatial generalizations of Kato’s cusp condition for two-electron atoms with correlations. Journal of Physics B: Atomic, Molecular and Optical Physics, 1995;28: 3132.DOI:10.1088/0953-4075/29/17/007.
Google Scholar
16
-
Sakho I. Modified Atomic Orbital Calculations for (1s,nl) 3Lπand 2(1,0)n±1,3Se Excited States of He Isoelectronic Sequence. Journal of Atomic and Molecular Sciences, 2010; 1: 224-242 (2010). DOI: 10.4208/jams.042710.051510a.
Google Scholar
17