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

Abstract

In this work, the total energies of doubly excited states ( ns 2 ) 1 S e , ( np 2 ) 1 D e , ( nd 2 ) 1 G e , ( nf 2 ) 1 I e , ( ng 2 ) 1 K e , and ( nh 2 ) 1 M e of the helium isoelectronic sequence with Z ≤ 10 are calculated in the framework of the variational method of the Screening Constant by Unit Nuclear Charge (SCUNC). These calculations are performed using a new wavefunction correlated to Hylleraas-type. The possibility of using the SCUNC method in the investigation of high-lying Doubly Excited States(DES) in two-electron systems is demonstrated in the present work in the case of the ( nl 2 ) 1 L &pi; doubly excited states, where accurate total energies are tabulated up to n = 20. All the results obtained in this paper are in agreement with the values of the available literature and may be useful for future experimental and theoretical studies on the doubly excited ( nl 2 ) 1 L π states of two-electron systems.