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Enhancement Effect on Positron Annihilation with Tightly Bound Electrons
Author(s) -
Chiba T.,
Dürr G. B.,
Brandt W.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220810224
Subject(s) - annihilation , electron , physics , positron , coulomb , atomic physics , positron annihilation , momentum (technical analysis) , perturbation theory (quantum mechanics) , fermi gamma ray space telescope , nuclear physics , condensed matter physics , quantum mechanics , finance , economics
Abstract Coulomb correlation is taken into account in the annihilation process of positrons in solids with tightly bound electrons by first‐order perturbation theory. A momentum‐dependent enhancement formula is derived which is applicable to insulators with high electron density. With the use of the Thomas‐Fermi approximation the formula is reduced to give an annihilation rate depending solely on the overlap density of electrons and a positron. It is shown that the annihilation rates in insulators follow an enhancement curve different from that for metals.