Resonances in positron scattering on a supercritical nucleus and spontaneous production of e+e- pairs

S. I. Godunov, B. Machet, M. I. Vysotsky

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

We re-examine the physics of supercritical nuclei, specially focusing on the scattering phase δϰ and its dependence on the energy ε of the diving electronic level, for which we give both exact and approximate formulas. The Coulomb potential Zα/ r is rounded to the constant Zα/ R for r< R. We confirm the resonant behavior of δϰ that we investigate in detail. In addition to solving the Dirac equation for an electron, we solve it for a positron, in the field of the same nucleus. This clarifies the interpretation of the resonances. Our results are compared with claims made in previous works.

Original languageEnglish
Article number782
Number of pages12
JournalEuropean Physical Journal C
Volume77
Issue number11
DOIs
Publication statusPublished - 20 Nov 2017

Keywords

  • GREATER-THAN 137
  • ELECTRON SHELLS
  • COLLISIONS
  • FIELD
  • COLLAPSE
  • ATOMS

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