Fundamental constants and tests of theory in Rydberg states of hydrogen-like ions

TL;DR

This paper improves the theoretical calculations of Rydberg states in hydrogen-like ions, enabling more precise tests of quantum electrodynamics and better determination of fundamental constants like the Rydberg constant.

Contribution

It provides a new calculation of a key QED contribution, reducing theoretical uncertainties in energy level predictions for hydrogen-like ions.

Findings

Enhanced precision in QED energy level calculations

Potential for improved Rydberg constant measurement

Supports more accurate fundamental constant determination

Abstract

Comparison of precision frequency measurements to quantum electrodynamics (QED) predictions for Rydberg states of hydrogen-like ions can yield information on values of fundamental constants and test theory. With the results of a calculation of a key QED contribution reported here, the uncertainty in the theory of the energy levels is reduced to a level where such a comparison can yield an improved value of the Rydberg constant.