Fundamental constants and tests of theory in Rydberg states of one-electron ions

Abstract

The nature of the theory of circular Rydberg states of hydrogenlike ions allows highly-accurate predictions to be made for energy levels. In particular, uncertainties arising from the problematic nuclear size correction which beset low angular-momentum states are negligibly small for the high angular-momentum states. The largest remaining source of uncertainty can be addressed with the help of quantum electrodynamics (QED) calculations, including a new nonperturbative result reported here. More stringent tests of theory and an improved determination of the Rydberg constant may be possible if predictions can be compared with precision frequency measurements in this regime. The diversity of information can be increased by utilizing a variety of combinations of ions and Ryberg states to determine fundamental constants and test theory.

arXiv comment10 pages; LaTeX

References in corpus (7)

• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• Electron Self Energy for the K and L Shell at Low Nuclear Charge
• Convergence Acceleration via Combined Nonlinear-Condensation Transformations
• Fundamental constants and tests of theory in Rydberg states of hydrogen-like ions
• Asymptotic properties of self-energy coefficients
• Calculation of Hydrogenic Bethe Logarithms for Rydberg States
• Relativistic and Radiative Energy Shifts for Rydberg States

Cited by in corpus (11)

• QED tests with highly-charged ions
• Complete ${\alpha }^{6}m$ corrections to the ground state of H${}_2$
• Measuring the Rydberg Constant Using Circular Rydberg Atoms in an Intensity-Modulated Optical Lattice
• Measurement of Rb g-series quantum defect using two-photon microwave spectroscopy
• Interaction of a hydrogenlike ion with a planar topological insulator
• Proposal for the determination of nuclear masses by high-precision spectroscopy of Rydberg states
• Determination of Quantum Defects and Core Polarizability of Atomic Cesium via Terahertz and Radio-Frequency Spectroscopy in Thermal Vapor
• Gauge effects in bound-bound Rydberg-transition matrix elements
• Precision Rydberg State Spectroscopy with Slow Electrons and Proton Radius Puzzle
• Ionization potential of radium monofluoride
• Highly Charged Ions in Rare Earth Permanent Magnet Penning Traps