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

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.