Quantum electrodynamics $m \alpha^6$ and $m \alpha^7 \ln \alpha$ corrections to the fine splitting in Li and Be$^+$

TL;DR

This paper derives high-order quantum electrodynamics corrections to the fine structure in three-electron atoms, specifically for lithium and beryllium ions, providing numerical evaluations for these corrections.

Contribution

It introduces new derivations of QED corrections at $m ext{α}^6$ and $m ext{α}^7 ext{ln} ext{α}$ orders for three-electron systems, with numerical results for Li and Be$^+$.

Findings

Derived QED corrections at $m ext{α}^6$ and $m ext{α}^7 ext{ln} ext{α}$ orders.

Numerical evaluations for Li atom and Be$^+$ ion.

Enhanced accuracy in fine structure calculations.

Abstract

We derive quantum electrodynamics corrections to the fine structure in three-electron atomic systems at $m \alpha^6$ and $m \alpha^7 \ln \alpha$ orders and present their numerical evaluations for the Li atom and Be$^+$ ion.