Abstract

Positronium formation through electron capture fromground-state closed-shell sodium clusters is studiedtheoretically at intermediate impact energies. The chargetransfer process is described in the independent electronmodel by a continuum distorted-wave approximation. Inthis approximation, distortions in the final state areintroduced by using two Coulomb wavefunctions associatedwith the positron- and electron-residual targetinteractions. The cluster is described within theframework of the spherical background jellium model andthe Kohn-Sham formalism with a local-densityapproximation that includes exchange, correlation, and aself-interaction correction. Using a partial-wavetechnique, differential and total cross sections for theisoelectronic neutral and charged closed-shell sodiumclusters Na20, Na19- and Na21+are computed and compared with the predictions of theCoulomb-Born type approximation which neglects thedistortions in the final state.

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