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

We re-examine the physics of supercritical nuclei, specially focusing on the scattering phase δ ϰ and its dependence on the energy ε of the diving electronic level, for which we give both exact and approximate formulas. The Coulomb potential Z α / r is rounded to the constant Z α / R for r < R ....

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 77; no. 11; pp. 1 - 12
Main Authors Godunov, S. I., Machet, B., Vysotsky, M. I.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 20.11.2017
Springer Nature B.V
Subjects
Astronomy
Astrophysics and Cosmology
Coulomb potential
Dependence
Dirac equation
Diving
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Positron scattering
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Resonance scattering
String Theory
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Summary:We re-examine the physics of supercritical nuclei, specially focusing on the scattering phase δ ϰ and its dependence on the energy ε of the diving electronic level, for which we give both exact and approximate formulas. The Coulomb potential Z α / r is rounded to the constant Z α / R for r < R . We confirm the resonant behavior of δ ϰ 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