Abstract
We report accurate energies of the <sub>3</sub> (2,0,+) <sub>n</sub> <sup>1</sup>D<sup>e</sup>, <sup>1</sup>G<sup>e</sup>, <sup>3</sup>F°, <sub>3</sub> (0, 2,+) <sub>n</sub> <sup>1</sup>D<sup>e</sup>, <sub>3</sub> (1,1,+) <sub>n</sub> <sup>3</sup>D<sup>e</sup>, <sup>3</sup>P<sup>e</sup>, <sup>3</sup>F<sup>e</sup>, <sub>3</sub> (-1,1,+) <sub>n</sub> <sup>3</sup>P<sup>e</sup>, and <sub>3</sub> (1,1,+) <sub>n</sub> <sup>1</sup>D°, <sup>1</sup>F°, series of He- like ions using the Screening constant by unit nuclear charge method. It is shown that the angular correlation quantum number <i>K</i> is effectively related to the cosinus of the angle between the position vectors of the two electrons.
Highlights
Helium-like systems are very rich in structures attributed to doubly excited states with mixed configurations
The goal of the present study is to extend recent calculations of Sakho [6] on the 1,3P° series to the 3(2,0,+)n 1De, 3(0,2,+)n 1De, 3(1,1,+)n 3De, 3(1,1,+)n 3Pe, 3(−1,1,+)n 3Pe, 3(1,1,+)n 3Fe, 3(2,0,+)n 1Ge, 3(1,1,+)n 1D°, 3(1,1,+)n 1F°, and 3(2,0,+)n 3F° Rydberg series of Helium - like ions (Z =3-40) applying the Screening constant by unit nuclear charge (SCUNC) method
Calculations are performing in the framework of the Screening constant by unit nuclear charge formalism
Summary
Helium-like systems are very rich in structures attributed to doubly excited states with mixed configurations. Studies of autoionizing states in the helium isoelectronic sequence are very useful prototypes for the analysis of “manyparticles” investigations. As the independent particles model is unappropriated for interpreting doubly excited states (DES) of He-like systems, most atomic spectra are treated on the classification scheme with the set of correlation quantum numbers K, T and A. For a given state of He-like systems, the classification scheme is labelled as N ( K T ) A n [1]. For the DES converging to the N = 2 hydrogenic threshold, the Screening constant by unit nuclear charge (SCUNC) has been used previously [2, 3] to report accurate results for Helike systems.
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