Electron-Positron Interaction in Jellium: Modification of the Perturbed Hypernetted-Chain Approach

H. Stachowiak a and E. Boroński b a W. Trzebiatowski Institute for Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław 2, Poland b Institute of Physics, University of Opole, Oleska 48, 45-052 Opole, Poland

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Received: 3 09 2007;

The approach of Kahana to the electron-positron interaction in an electron gas contains the superfluous assumption that electron scattering on the positron can occur only to momentum states lying outside the Fermi sphere. The perturbed hypernetted-chain approach avoids that assumption, but self-consistency was achieved only in the Born approximation. In the present work a modification of perturbed hypernetted-chain approach allowed to reach self-consistency also at the Kohn-Sham level, at least for 1≤rs≤3.5. The electron-positron correlation functions obtained in this way are compared to figures resulting from other approaches.

DOI: 10.12693/APhysPolA.113.1523 PACS numbers: 71.60.+z, 78.70.Bj