Breit corrections to moderately charged ions in all-orders calculations

Abstract

The atomic properties of heavy, moderately-charged ions are important for a wide variety of applications, including precision tests of fundamental physics and for the study and development of atomic and nuclear clocks. In these systems it is known that relativistic effects, such as the Breit interaction and radiative quantum electrodynamics corrections, are important for an accurate understanding of atomic properties. It is also known that inclusion of correlations alongside the Breit effect is crucial. In this work we include the Breit interaction into all-orders calculations of energy levels and fine structure intervals of ions in the Cs and Fr isoelectronic sequences. This requires modifying the electron Green's function to account for Breit within the all-orders correlation potential method, which sums dominating series of perturbation diagrams exactly using a Feynman diagram technique. We find that Breit corrections to the energies of moderately ionized ions along these sequences are very large, particularly for the f states. We also observe a significant deviation from experiment for these levels. Incorporating Breit into the all-orders correlation potential provides a significant additional contribution beyond including Breit at the second-order level alone. While this does not resolve the disagreement in the energy levels, it does substantially improve the fine-structure intervals beyond what is achieved by including Breit only at second order. Furthermore, we include the frequency-dependent Breit interaction into the Dirac-Fock procedure, and find that this does not significantly modify the energy levels at this order of approximation.

arXiv comment10 pages, 3 figures

References in corpus (23)

• Search for New Physics with Atoms and Molecules
• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Highly charged ions: optical clocks and applications in fundamental physics
• Precision determination of electroweak coupling from atomic parity violation and implications for particle physics
• The radiative potential method for calculations of QED radiative corrections to energy levels and electromagnetic amplitudes in many-electron atoms
• Revisiting parity non-conservation in cesium
• Frequency ratio of the ${}^{229\mathrm{m}}$Th nuclear isomeric transition and the ${}^{87}$Sr atomic clock
• Precise calculation of parity nonconservation in cesium and test of the standard model
• Reconciliation of the Measurement of Parity-Nonconservation in Cs with the Standard Model
• Precision determination of weak charge of ${}^{133}$Cs from atomic parity violation
• High accuracy calculation of 6s -> 7s parity nonconserving amplitude in Cs
• Parity and Time-Reversal Violation in Atomic Systems
• Correlated many-body treatment of Breit interaction with application to cesium atomic properties and parity violation
• Radiative corrections and parity nonconservation in heavy atoms
• QED radiative corrections to parity nonconservation in heavy atoms
• Excitation energies, polarizabilities, multipole transition rates, and lifetimes of ions along the francium isoelectronic sequence
• Ion clock and search for the variation of the fine structure constant using optical transitions in Nd${}^{13+}$ and Sm${}^{15+}$
• Breit interaction correction to the hyperfine constant of an external s-electron in many-electron atom
• Parity nonconservation in Fr-like actinide and Cs-like rare-earth-metal ions
• Radium Ion Optical Clock
• Correlation potential and ladder diagrams
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• Theoretical characterisation of the barium II and radium II ions