Energy and cusp-conditions study for the He isoelectronic sequence

Abstract

We present variational wave functions for He-like atoms with nuclear charge Z=1,...,10. We propose modifications of some usual simple correlated wave functions to account for the integration factor required in the evaluation of atomic ionization and excitation amplitudes with distorted wave methods. We determine the parameters of the trial functions and the resulting energies. We introduce new procedures to test the cusp conditions at the singularities of the Coulomb field.