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

preprint2012arXivOpen access

Abstract

Accurate theoretical predictions including leading QED corrections for 22P1/2−22S1/22^2P_{1/2} - 2^2S_{1/2} (D1) and 22P3/2−22S1/22^2P_{3/2} - 2^2S_{1/2} (D2) transition energies have been obtained for 6,7^{6,7}Li isotopes. Our results for the Bethe logarithms ln⁡k0(22S)=5.178 169(4)\ln k_0(2^2S) = 5.178\,169(4), and for mass polarization corrections Δln⁡k0(22S)=0.113 81(3)Δ\ln k_0(2^2S) = 0.113\,81(3) are in disagreement with ones obtained recently in the literature. In contrast, results ln⁡k0(22P)=5.179 81(7)\ln k_0(2^2P) = 5.179\,81(7) and Δln⁡k0(22P)=0.111 3(5)Δ\ln k_0(2^2P) = 0.111\,3(5) are in good agreement with them. From our theoretical predictions and recent measurements of 6,7^{6,7}Li D-lines at NIST, we determine the mean square charge radius difference between 7^7Li and 6^6Li nuclei, in agreement with determinations based on the 32S1/2−22S1/23^2S_{1/2}-2^2S_{1/2} transition, what demonstrates consistency of atomic spectroscopy determination of fundamental properties of nuclei.

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