Abstract
We study the annihilation of a fast positron and a K-electron resulting in the emission of a photon and a second K-electron. It is assumed that all electrons and positrons move in the Coulomb field of the nucleus and that the Coulomb parameter αZ is much less than unity (α=1/137 is the fine-structure constant and Z is the atomic number). The electron-electron interaction, which is responsible for the ejection of the electron by the atom, is taken into account in the first order of perturbation theory. We calculate the differential and total cross sections of the process and construct the ratio of the cross sections of double and single ionization as a function of the energy of the incident positron. Finally, we establish the high-energy limit of this ratio, equal to 0.34/Z 2.
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Zh. Éksp. Teor. Fiz. 113, 786–804 (March 1998)
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Mikhailov, A.I., Mikhailov, I.A. Annihilation of a relativistic positron and K-electron to yield a photon and second K-electron. J. Exp. Theor. Phys. 86, 429–438 (1998). https://doi.org/10.1134/1.558515
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DOI: https://doi.org/10.1134/1.558515