Configuration-interaction-Hylleraas calculations on one-positron atomic systems

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Abstract
The suitability of the variational configuration-interaction-Hylleras method in obtaining accurate energies and annihilation rates for one-positron atomic systems is discussed. The wavefunctions are expanded in terms of configurations which consist of antisymmetrized products of rijv coordinates (v=0, 1, 2) with Slater-type orbitals. Using 84, 84, 67 and 68 term wavefunctions the authors have obtained energies for the 1,2S(Li;e+), 1,2S(He-;e+), 2,3S(He;e+) and 2,1S(H-;e+) systems. The 1,2S(Li;e+), 1,2S(He-;e+) and 2,3S(He;e+) systems are stable with respect to positron dissociation but probably unstable with respect to positronium dissociation. With a view to facilitating further variational studies on atom-positron systems, a detailed discussion is given of the relative importance, on both annihilation rates and energies, of the configurations in the wavefunctions which represent particular correlation effects.

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