On the resonances near the continua boundaries of the Dirac equation with a short-range interaction

Abstract

Using the model of a deep spherically symmetric rectangular well as an example, it is shown that resonant scattering near the boundaries of the lower or upper Dirac continua cannot serve as evidence in favor of spontaneous electron-positron pair production in a supercritical domain.

References in corpus (5)

• The electronic properties of graphene
• Observing Atomic Collapse Resonances in Artificial Nuclei on Graphene
• Realization of a Tunable Artificial Atom at a Supercritically Charged Vacancy in Graphene
• Dirac Hamiltonian with superstrong Coulomb field
• Resonances in positron scattering on a supercritical nucleus and spontaneous production of $e^{+}{e}^{-}$ pairs

Cited by in corpus (1)

• Spontaneous vacuum decay in low-energy collisions of heavy nuclei beyond the monopole approximation