Author(s)

Matabara Dieng^1*, Babou Diop², Malick Sow², Youssou Gning², Mamadi Biaye³, Ababacar Sadikhe Ndao², Ahmadou Wagué²

¹Department of Physics, UFR-SATIC, University Alioune Diop of Bambey, Bambey, Senegal.
²Laboratoire Atomes-Lasers, Department of Physics, University Cheikh Anta Diop, Dakar, Senegal.
³Department of Physics and Chemistry, Faculty of Sciences and Technologies of Formation and Education, University Cheikh Anta Diop, Dakar, Senegal.

The doubly excited states of helium-like ions are investigated using a combination of the no-linear parameters of Hylleraas and the β-parameters of screening constant by unit nuclear charge. Calculations are performed for total energies of low-lying doubly excited states (N = 2 - 9) in He-like ions up to Z = 10. The results obtained from the novel method are in good agreement with the available theoretical calculations and experimental observations.

Electronic Correlations, Variational Calculations, Atoms And Ions, Helium-Like Systems, Singlet States, Triplet States, Matrix Elements, Doubly-Excited States, Autoionization

Dieng, M. , Diop, B. , Sow, M. , Gning, Y. , Biaye, M. , Ndao, A. and Wagué, A. (2020) Energy Positions of the ^1,3D^e Rydberg Series of the He-Like Ions Up to the N = 9 Threshold. Journal of Applied Mathematics and Physics, 8, 1535-1549. doi: 10.4236/jamp.2020.88119.