The Effective Electron-Positron Potential in Jellium

H. Stachowiak, E. Boroński and J. Lach W. Trzebiatowski Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O.Box 937, 50-950 Wrocław 2, Poland

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One of the methods of determining theoretical annihilation characteristics in real metals is the approximation called Bloch modified ladder approach. In this approach a Bethe-Goldstone type equation is solved with an effective electron-positron potential obtained previously for jellium of the corresponding electron density. If one wishes to include the dependence on the local electron density of the e+-e- effective potential in this formalism, it is necessary to know this potential for jellium, for metallic and above metallic densities. A review of different proposed e+-e- potentials is presented and their correctness is evaluated from the point of view of their application in a Bethe-Goldstone type formalism which is the jellium analogue of Bloch modified ladder approach.

DOI: 10.12693/APhysPolA.83.391 PACS numbers: 78.70.Bj, 71.60.+z