Variationnal Calculation of the Doubly (nl) <sup>2</sup> <sup>1</sup>L<sup>p</sup> Excited States of He-Like Ions Via the Screening Constant by Unit Nuclear Charge Formalism

Abstract

The present work deals with an ab initio calculation of total energies of the doubly excited np 2 , nd 2 and nf 2 states in the helium-like systems. These total energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. In the present work, a new correlated wave function is presented to express analytically the total energies of the doubly np 2 , nd 2 and nf 2 excited states in the He-like systems. The present results obtained up to Z = 10 and n = 4 agree very well with various computational methods.

Calculations Energy of the (<i>nl</i><sup>2</sup>) <sup>1</sup><i>L<sup>π</sup></i> Doubly Excited States of Two-Electron Systems via the Screening Constant by Unit Nuclear Charge Formalism

“…Here, the agreements between the calculations are considered good. Table 10 compares our results for the (nd 2 ) 1 G e (n = 3 -10) states with those obtained by Badiane et al [41], sakho [32] [40], Bachau et al [19], Biaye et al [16], Ivanov and Safronova [17], Diouf et al [39], Ray et al [23] and Roy et al [18]. As regards the (nd 2 ) 1 G e -levels, comparison shows also a good agreement up to Z = 10.…”

“…As regards the (nd 2 ) 1 G e -levels, comparison shows also a good agreement up to Z = 10. Table 11 shows the results of our present calculations of the total energies of the doubly excited (nf 2 ) 1 I e (n = 4 -10) states of helium-like systems up to Z = 10, which we compare with those obtained by Biaye et al [16], Badiane et al [41], Sakho et al [32] [40], Ho [20], Diouf et al [39], and Sow et al [36]. A comparative Table 9.…”

“…In Table 9, we compare our calculations for (np 2 ) 1 D e states with the results of the calculations of Badiane et al [41], with the data of Sakho [24] [32] [40], with the results of the complex rotation calculations (CRC) of Ho and Bhatia [13],…”

“…Present work, values calculated from Equation(22), a Biaye et al[16],b Badiane et al[41], c Sakho et al[32],d Ho[20], e Diouf et al[39], f Sow et al[36];…”