Abstract
In this paper, we calculate energies for 2<i>s</i>3<i>s</i><sup>+1,3</sup><i>S</i><sup>e</sup>, 2<i>s</i>4<i>s</i><sup>+1,3</sup><i>S</i><sup>e</sup>, 2<i>snp</i><sup>+1,3</sup><i>P<sup>0</sup></i> with n≤6 and 2<i>p</i>3<i>p</i><sup>+1,3</sup><i>D<sup>e</sup></i>, 2<i>p</i>4<i>p</i><sup>+1,3</sup><i>D<sup>e</sup></i> autoionizing states of helium-like ions. These calculations are investigated using a new wave function correlated to four terms. Total energies calculations are performed between two electrons in He-isoelectronic series up to <i>Z</i> = 10, base on the Screening Constant by Unit Nuclear charge method in the framework of a variational procedure. The results obtained are in compliance with recent theoretical calculations.
Highlights
In atomic physics the studies concerning the determination of the characteristics of the doubly excited states such as total energies, the total widths as well as the cross sections of autoionisation are of a great importance
These studies allowed the theorists and the experimenters to highlight the importance of the phenomena of electronic correlation in the doubly excited states of the atomic systems with two electrons. [1,2,3,4,5,6]
Many efforts were deployed in the last few years in the clarification of several theoretical methods for the description of the atomic systems with two electrons; it is still possible to make other studies in this field in order to test new theoretical methods which can contribute to a better understanding of the phenomena of electronic correlations
Summary
In atomic physics the studies concerning the determination of the characteristics of the doubly excited states such as total energies, the total widths as well as the cross sections of autoionisation are of a great importance. Many efforts were deployed in the last few years in the clarification of several theoretical methods for the description of the atomic systems with two electrons; it is still possible to make other studies in this field in order to test new theoretical methods which can contribute to a better understanding of the phenomena of electronic correlations. Within this framework that a new wave function of four special terms of Hylleraas forms type was developed to describe the atomic systems with two doubly excited He atom and He-like ions with Z ≤ 15 [7,8]. This work constitutes a generalization of the studies to several doubly excited singulets and triplets 2sns +1,3S e , 2snp +1,3P0 and 2 pnp +1,3De states of the same electrons valence by using a new wave function of special forms of hylleraas types to four terms
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