Relativistic, QED, and nuclear mass effects in the magnetic shielding of ${}^3$He

Abstract

The magnetic shielding $\sigma$ of ${}^3$He is studied. The complete relativistic corrections of order $O({\alpha }^2)$, leading QED corrections of order $O({\alpha }^3\ln \alpha )$, and finite nuclear mass effects of order $O(m/m_{\mathrm{N}})$ are calculated with high numerical precision. The resulting theoretical predictions for $\sigma =59.96743(10)\cdot 10^{-6}$ are the most accurate to date among all elements and support the use of ${}^3$He as a NMR standard.

10 pages, corrected minor errors in Eqs.(6,7)

References in corpus (1)

• Complete two-loop correction to the bound-electron g factor

Cited by in corpus (16)

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• Finite nuclear mass corrections to electric and magnetic interactions in diatomic molecules
• Precision measurements of the fundamental properties of the proton and antiproton
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• Relativistic and quantum electrodynamics effects on NMR shielding tensors of Tl$X$ ($X$ = H, F, Cl, Br, I, At) molecules
• QED theory of the nuclear magnetic shielding in H and ${}^3$He
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