Resonances in positron scattering on a supercritical nucleus and spontaneous production of [Formula omitted] pairs

We re-examine the physics of supercritical nuclei, specially focusing on the scattering phase [Formula omitted] and its dependence on the energy [Formula omitted] of the diving electronic level, for which we give both exact and approximate formulas. The Coulomb potential [Formula omitted] is rounded...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2017-11, Vol.77 (11)
Main Authors: Godunov, S. I, Machet, B, Vysotsky, M. I
Format: Article
Language:English
Subjects:
Electrons
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Summary:We re-examine the physics of supercritical nuclei, specially focusing on the scattering phase [Formula omitted] and its dependence on the energy [Formula omitted] of the diving electronic level, for which we give both exact and approximate formulas. The Coulomb potential [Formula omitted] is rounded to the constant [Formula omitted] for [Formula omitted]. We confirm the resonant behavior of [Formula omitted] 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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-017-5325-4