Accurate evaluations of the field shift and lowest-order QED correction for the ground $1^1S-$states of some light two-electron ions

TL;DR

This paper provides highly accurate calculations of mass-dependent and field shift components, as well as lowest-order QED corrections, for the ground states of light two-electron ions, improving precision in atomic isotope shift evaluations.

Contribution

The study introduces precise calculations of isotopic shifts and QED corrections for specific two-electron ions using advanced formulas, enhancing accuracy over previous methods.

Findings

High-accuracy isotopic shift components determined

QED corrections calculated for each ion

Application of Racah-Rosental-Breit formula for field shifts

Abstract

Mass-dependent and field shift components of the isotopic shift are determined to high accuracy for the ground $1^1S-$states of some light two-electron Li$^{+}$, Be$^{2+}$, B$^{3+}$ and C$^{4+}$ ions. To determine the field components of these isotopic shifts we apply the Racah-Rosental-Breit formula. We also determine the lowest order QED corrections to the isotopic shifts for each of these two-electron ions.