Re-examination of a simplified model for positronium-helium scattering

Physics

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Scientific paper

Using a local effective potential to account for electron exchange, Drachman and Houston (1970 J. Phys. B: At. Mol. Phys. 3 1657) analysed the zero-energy scattering of ortho-positronium by helium atoms in 1970. The idea was to use the existing static-exchange results to fit the parameters of the local potential and then to use the potential in a variational target-elastic calculation. The results were remarkably good, both for the scattering length and the annihilation parameter. Recently, however, a rigorous target-elastic calculation by Blackwood et al (1999 Phys. Rev. A 60 4454) disagreed so strongly with these old results that we have undertaken a re-examination. We find that the assumption made in the earlier work, that the direct potential is negligible compared with the exchange potential, is not quantitatively correct.

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