The sensitivity of electron - positron momentum densities to approximations used in calculating the positron wave function

In this paper, the behaviour of the electron - positron momentum density of non-interacting particles, , in a periodic lattice potential is investigated. On the basis of general considerations, we show that in each metal there are some components of which are only weakly sensitive to approximations used in the calculation of the positron wave function . This means that in these regions of p, the two-particle density can be evaluated with a high accuracy, largely independently of uncertainties arising from the different approximations used in calculating the function . This property of can be useful for the verification of various approaches used for describing the electron - positron interaction in real metals.

[1]  H. Sormann,et al.  ELECTRONIC STRUCTURE SEEN BY POSITRONS IN EXTENDED AND REDUCED ZONE SCHEMES , 1995 .

[2]  H. Sormann,et al.  Umklapp Components of the Positron Momentum Density Depending on Different Models for the Positron Wave Function , 1995 .

[3]  Kontrym-Sznajd,et al.  Interpretation of positron-annihilation data with respect to the electron-positron enhancement factors. I. Theory. , 1993, Physical review. B, Condensed matter.

[4]  Kontrym-Sznajd,et al.  Interpretation of positron-annihilation data with respect to the electron-positron enhancement factors. II. Applications. , 1993, Physical review. B, Condensed matter.

[5]  G. Kontrym‐Sznajd.  Influence of the Local Density Function on the Momentum Dependence of the Electron Density , 1992 .

[6]  E. Boroński.  Enhancement Factors in Metals , 1992 .

[7]  T. Jarlborg,et al.  Calculation of Positron-Electron Enhancement Factors for Real Metals on a Base of Band Structure Data , 1992 .

[8]  H. Sormann,et al.  The Role of Electron and Positron Scattering States within the Bloch-Modified Ladder Expansion , 1992 .

[9]  H. Sormann,et al.  The Influence of Crystal Potential and Positron Wave Function Anisotropy on the Momentum Density of Electron-Positron Pairs , 1992 .

[10]  Sormann.  Influence of the anisotropy of the positron wave function on the calculation of the momentum density of positron annihilation pairs. , 1991, Physical review. B, Condensed matter.

[11]  Sob,et al.  Theoretical calculations of positron annihilation with rare-gas core electrons in simple and transition metals. , 1991, Physical review. B, Condensed matter.

[12]  G. Kontrym‐Sznajd,et al.  ELECTRONIC STRUCTURE AND ELECTRON-POSITRON CORRELATION EFFECTS IN MG , 1990 .

[13]  Stachowiak.  Electron-positron interaction in jellium. , 1990, Physical review. B, Condensed matter.

[14]  Sob,et al.  High sensitivity of umklapp components of momentum densities to the crystal potential and its consequences for the electron-positron enhancement factor. , 1990, Physical review. B, Condensed matter.

[15]  P. E. Mijnarends,et al.  The korringa-Kohn-Rostoker method and momentum density calculations in solids , 1990 .

[16]  H. Stachowiak,et al.  Electron-positron interaction in metals: momentum dependence of HMC and ionic core enhancement factors , 1989 .

[17]  H. Sormann.  The Enhancement of Positron Annihilation Rates in Copper and Silver , 1987 .

[18]  R. N. West,et al.  Selective enhancement of different electron populations by electron-positron attraction: application to zinc , 1987 .

[19]  Hanssen,et al.  Positron-annihilation study of the half-metallic ferromagnet NiMnSb: Theory. , 1986, Physical review. B, Condensed matter.

[20]  P. E. Mijnarends,et al.  Momentum density calculations in solids using the Korringa-Kohn-Rostoker method , 1986 .

[21]  R. W. Siegel,et al.  Annihilation of a positron in a vacancy in aluminum , 1980 .

[22]  R. W. Siegel,et al.  Electron and Positron Densities and the Temperature Dependence of the Positron Lifetime in a Vacancy in Aluminum , 1977 .

[23]  K. Fujiwara,et al.  ENHANCEMENT OF ANNIHILATION RATE OF ELECTRON--POSITRON PAIRS IN PERIODIC FIELDS. , 1972 .

[24]  J. Carbotte,et al.  Positron annihilation in a nearly-free electron band , 1972 .

[25]  K. Fujiwara.  A Many-Body Theory for Nearly-Free Electrons and Its Application to Annihilaion of Positrons in a Periodic Field , 1970 .

[26]  T. Loucks.  Fermi Surface and Positron Annihilation in Yttrium , 1966 .