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Single-Quantum Annihilation of Positrons

W. R. Johnson, D. J. Buss, C. O. Carroll

Open publisher page 39 citations

Abstract

Calculations of the cross section for single-quantum annihilation of positrons by $K$-shell electrons in the Coulomb field of a nucleus are presented. Numerical results are given for nuclear charges $Z=73, 74, 78, 79, 82, \mathrm{and} 90$ and for energies from threshold to 1.75 MeV. For $Z=82$ the numerical results agree well but not in detail with previous results of Jaeger and Hulme, and show that the Born approximation is too large by a factor of nearly 2.

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What this paper is about

Calculations of the cross section for single-quantum annihilation of positrons by $K$-shell electrons in the Coulomb field of a nucleus are presented. Numerical results are given for nuclear charges $Z=73, 74, 78, 79, 82, \mathrm{and} 90$ and for energies from threshold to 1.75 MeV. For $Z=82$ the numerical results agree well but not in detail with previous results of Jaeger and Hulme, and show that the Born approximation is too large by a factor of nearly 2.

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Available abstract

Calculations of the cross section for single-quantum annihilation of positrons by $K$-shell electrons in the Coulomb field of a nucleus are presented. Numerical results are given for nuclear charges $Z=73, 74, 78, 79, 82, \mathrm{and} 90$ and for energies from threshold to 1.75 MeV. For $Z=82$ the numerical results agree well but not in detail with previous results of Jaeger and Hulme, and show that the Born approximation is too large by a factor of nearly 2.

Key concepts: Physics, Annihilation, Electron, Atomic physics, Coulomb, Positron, Nuclear physics, Nucleus

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