THIRD-ORDER COULOMB WAVE FUNCTION AND SINGLE QUANTUM ANNIHILATION

Journal Article · Sun Dec 15 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.132.2540· OSTI ID:4140428

Carroll, C O; O'Connell, R F

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)

• Research Organization: Univ. of Notre Dame, Ind.
• NSA Number: NSA-18-002641
• OSTI ID: 4140428
• Report Number(s): TID-19576; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 132; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANNIHILATION
CROSS SECTIONS
DIAGRAMS
ELECTRIC CHARGES
ELECTRIC FIELDS
ELECTRONS
EMISSION
ENERGY
LEAD
MOMENTUM
NUCLEAR MODELS
NUMERICALS
PHOTONS
PHYSICS
POSITRONS
QUANTUM MECHANICS
SHELL MODELS
SILVER