2017/07/31 by S. I. Godunov, B. Machet, M. I. Vysotsky · 1 citation
Physics and Astronomy · #Atomic and Molecular Physics #Constant (computer programming) #Coulomb #Dirac (video compression format) #Energy (signal processing) #Field (mathematics) #Nuclear physics research studies #Phase (matter) #Quantum Mechanics and Non-Hermitian Physics #Scattering #Supercritical fluid #hep-ph #nucl-ex #nucl-th
paper · pdf · doi:10.1140/epjc/s10052-017-5325-4
published as Eur.Phys.J. C77 (2017) no.11, 782 · 18 pages, 3 figures, 1 table
openalex created_date 2017/07/31 · openalex publication_date 2017/11/01 · arxiv created 2018/02/08 · arxiv updated 2018/02/09 · openalex updated_date 2026/08/05
We re-examine the physics of supercritical nuclei, specially focusing on the scattering phase δ \varkappa 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 δ \varkappa 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.