Full leading-order nuclear polarization in highly charged ions

Fuente: arXiv
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Autores principales: Valuev, Igor A., Oreshkina, Natalia S.
Formato: Preprint
Publicado: 2024
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author Valuev, Igor A.
Oreshkina, Natalia S.
author_facet Valuev, Igor A.
Oreshkina, Natalia S.
contents The nuclear-polarization corrections to the energy levels of highly charged ions are systematically investigated to leading order in the fine-structure constant. To this end, the notion of effective photon propagators with nuclear-polarization insertions is employed, where the nuclear excitation spectrum is calculated by means of the Hartree-Fock-based random-phase approximation. The effective Skyrme force is used to describe the interaction between nucleons, and the model dependence is analyzed. To leading order, the formalism predicts two contributions given by the effective vacuum-polarization and self-energy diagrams. The existing ambiguity around the vacuum-polarization term is resolved by demonstrating that it is effectively absorbed in the standard finite-nuclear-size correction. The self-energy part is evaluated with the full electromagnetic electron-nucleus interaction taken into account, where the importance of the effects of the nuclear three-currents is emphasized.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05904
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Full leading-order nuclear polarization in highly charged ions
Valuev, Igor A.
Oreshkina, Natalia S.
Atomic Physics
Nuclear Theory
Quantum Physics
The nuclear-polarization corrections to the energy levels of highly charged ions are systematically investigated to leading order in the fine-structure constant. To this end, the notion of effective photon propagators with nuclear-polarization insertions is employed, where the nuclear excitation spectrum is calculated by means of the Hartree-Fock-based random-phase approximation. The effective Skyrme force is used to describe the interaction between nucleons, and the model dependence is analyzed. To leading order, the formalism predicts two contributions given by the effective vacuum-polarization and self-energy diagrams. The existing ambiguity around the vacuum-polarization term is resolved by demonstrating that it is effectively absorbed in the standard finite-nuclear-size correction. The self-energy part is evaluated with the full electromagnetic electron-nucleus interaction taken into account, where the importance of the effects of the nuclear three-currents is emphasized.
title Full leading-order nuclear polarization in highly charged ions
topic Atomic Physics
Nuclear Theory
Quantum Physics
url https://arxiv.org/abs/2401.05904