Simple Configuration-Interaction Wave Functions. II. Two-Electron Ions: An Analytic Study

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Abstract
An analytical study of the 1S ground state of helium‐like ions employing the open‐shell function (1s1s′) and the angularly correlated configuration‐interaction function (1s1s′)+λ(2p)2 has been made. Expressions for the wave function parameters, energy values, and certain other expectation values in terms of the nuclear charge Z have been obtained. These are asymptotic expressions for large Z, but they reproduce numerically obtained results for small Z with sufficient accuracy to be useful for many purposes.