D1 and D2 lines in ${}^{6,7}$Li including QED effects

Abstract

Accurate theoretical predictions including leading QED corrections for $2^2{P}_{1/2}-2^2{S}_{1/2}$ (D1) and $2^2{P}_{3/2}-2^2{S}_{1/2}$ (D2) transition energies have been obtained for ${}^{6,7}$Li isotopes. Our results for the Bethe logarithms $\ln k_0(2^{2}S)=5.178169(4)$, and for mass polarization corrections $\Delta \ln k_0(2^{2}S)=0.11381(3)$ are in disagreement with ones obtained recently in the literature. In contrast, results $\ln k_0(2^{2}P)=5.17981(7)$ and $\Delta \ln k_0(2^{2}P)=0.1113(5)$ are in good agreement with them. From our theoretical predictions and recent measurements of ${}^{6,7}$Li D-lines at NIST, we determine the mean square charge radius difference between ${}^7$Li and ${}^6$Li nuclei, in agreement with determinations based on the $3^2{S}_{1/2}-2^2{S}_{1/2}$ transition, what demonstrates consistency of atomic spectroscopy determination of fundamental properties of nuclei.

7 pages, 5 tables

References in corpus (6)

• ${\alpha }^4$ Ry corrections to singlet states of helium
• Ground state wave function and energy of the lithium atom
• Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$
• Quantum interference and light polarization effects in unresolvable atomic lines: application to a precise measurement of the 6,7 Li D2 lines
• Ground state of Li and Be${}^{+}$ using explicitly correlated functions
• Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$

Cited by in corpus (10)

• Laser Probing of Neutron-Rich Nuclei in Light Atoms
• Quantum interference and light polarization effects in unresolvable atomic lines: application to a precise measurement of the 6,7 Li D2 lines
• Isotope Shifts in Beryllium-, Boron-, Carbon-, and Nitrogen-like Ions from Relativistic Configuration Interaction Calculations
• Quantum electrodynamics corrections to the $2P$ fine splitting in Li
• Unexpectedly large difference of the electron density at the nucleus in the 4p ${}^2$P${}_{1/2,3/2}$ fine-structure doublet of Ca${}^{+}$
• Ground state hyperfine splitting in the Be${}^{+}$ ion
• Calculation of Araki-Sucher correction for many-electron systems
• Measurement of a ${}^7$Li tune-out wavelength by phase-patterned atom interferometry
• Atomic Bethe logarithm in the mean-field approximation
• Benchmarking Many-body Approaches for the Determination of Isotope Shift Constants: Application to the Li, Be${}^{+}$ and Ar${}^{15+}$ Isoelectronic Systems