English

Photoproduction of $e^+e^-$ pair in a Coulomb field near the threshold

High Energy Physics - Phenomenology 2022-10-19 v1 Atomic Physics

Abstract

We consider the electron-positron pair production by a photon in Coulomb field near threshold. We obtain the analytical results for the particle energy spectrum and angular distribution exactly in the parameter Ze2/vZe^2/\hbar v. We show that Furry-Sommerfeld-Maue approximation for the wave functions used by Nishina, Tomonaga and Sakata is not sufficient and leads to wrong results.

Keywords

Cite

@article{arxiv.2209.03566,
  title  = {Photoproduction of $e^+e^-$ pair in a Coulomb field near the threshold},
  author = {P. A. Krachkov and R. N. Lee and A. I. Milstein},
  journal= {arXiv preprint arXiv:2209.03566},
  year   = {2022}
}