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

• Authors: H. Stachowiak , E. Boroński
• Languages of publication: EN

Abstracts

EN

The perturbed hypernetted-chain approach to electron-positron interaction in jellium consists in assuming the wave function of the system in the form of a Slater determinant built of single-electron functions presented asψi k(s)=w(s)φ_i k(s). s is the distance between the electron and the positron. The function w(s) is obtained by solving the equation of Gondzik and Stachowiak. The functionφ_{i k}(s) is computed by applying a self-consistent Born approximation. The idea of the paper is to modify the function w(s) in such a way as to obtain from the Born approximation as precise results as possible. It is shown that the influence of such modifications on physical predictions is small. This shows how good is the perturbed hypernetted-chain approach. The annihilation rates obtained in such a way decrease somewhat, becoming closer to experimental expectations.

Keywords

EN

71.60.+z; 78.70.Bj; 71.10.Ca

Discipline

• 78.70.Bj: Positron annihilation(for positron states, see 71.60.+z in electronic structure of bulk materials; for positronium chemistry, see 82.30.Gg in physical chemistry and chemical physics)
• 71.60.+z: Positron states(for positron annihilation, see 78.70.Bj)
• 71.10.Ca: Electron gas, Fermi gas

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 110
• Issue: 5
• Pages: 709-720

Dates

published

2006-11

received

2006-06-05

Contributors

author

H. Stachowiak

• W. Trzebiatowski Institute for Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław 2, Poland

author

E. Boroński

• W. Trzebiatowski Institute for Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław 2, Poland

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Identifiers

DOI

10.12693/APhysPolA.110.709