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Author Carroll, C. O. ♦ O.'Connell, R. F.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ANNIHILATION ♦ CROSS SECTIONS ♦ DIAGRAMS ♦ ELECTRIC CHARGES ♦ ELECTRIC FIELDS ♦ ELECTRONS ♦ EMISSION ♦ ENERGY ♦ LEAD ♦ MOMENTUM ♦ NUCLEAR MODELS ♦ NUMERICALS ♦ PHOTONS ♦ POSITRONS ♦ QUANTUM MECHANICS ♦ SHELL MODELS ♦ SILVER
Abstract An expression for the third-order Coulomb wave function, correct to order ( alpha Z)/sup 3/ for all momenta and energies, is derived. Using this wave function the total cross section for single-photon emission resulting from a positron annihilating with a K-shell electron (single quantum annihilation), valid to relative order ( alpha Z)/sup 2/, is calculated numerically. The results for lead are compared to the exact answer of Jaeger and Hulme, and the results for silver are also given graphically. The effect of the third-order term in the cross section is found to be significant, especially for low and intermediate positron energies. The cross section for lead is found to be qualitatively correct while that for silver is essentially exact. The question of how to treat the normalization factors of the various wave functions is also discussed. (auth)
ISSN 0031899X
Educational Use Research
Learning Resource Type Article
Publisher Date 1963-12-15
Publisher Department Univ. of Notre Dame, Ind.
Journal Physical Review
Volume Number 132
Technical Publication No. TID-19576
Organization Univ. of Notre Dame, Ind.


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