Lamb shift of $n = 1$ and $n = 2$ states of hydrogenlike atoms, $1 \le Z \le 110$

TL;DR

This paper provides detailed theoretical energy level calculations for hydrogenlike atoms with nuclear charge numbers from 1 to 110, using advanced quantum electrodynamics methods to account for all orders in the nuclear binding strength.

Contribution

It offers comprehensive tabulated energy levels for $n=1$ and $n=2$ states across a wide range of atomic numbers, based on ab initio QED calculations including error estimates.

Findings

Energy levels tabulated for $1 \, ext{to} \, 110$ Z.

Errors due to various effects critically examined.

Calculations performed to all orders in $Z\alpha$.

Abstract

Theoretical energy levels of the $n = 1$ and $n = 2$ states of hydrogenlike atoms with the nuclear charge numbers $1 \le Z \le 110$ are tabulated. The tabulation is based on ab initio quantum electrodynamical calculations performed to all orders in the nuclear binding strength parameter $Z\alpha$, where $\alpha$ is the fine structure constant. Theoretical errors due to various effects are critically examined and estimated.