### Abstract

The nature of the theory of circular Rydberg states of hydrogen-like 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 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.

Original language | English |
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Article number | 074002 |

Journal | Journal of Physics B: Atomic, Molecular and Optical Physics |

Volume | 43 |

Issue number | 7 |

DOIs | |

Publication status | Published - Mar 26 2010 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Condensed Matter Physics

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## Cite this

*Journal of Physics B: Atomic, Molecular and Optical Physics*,

*43*(7), [074002]. https://doi.org/10.1088/0953-4075/43/7/074002