QED effects on the nuclear magnetic shielding of ${}^3$He

Abstract

The leading quantum electrodynamic corrections to the nuclear magnetic shielding in one- and two-electron atomic systems are obtained in a complete form, and the shielding constants of ${}^1$H, ${}^3$He${}^{+}$, and ${}^3$He are calculated to be $17.735436(3)\cdot 10^{-6}$, $35.507434(9)\cdot 10^{-6}$, and $59.967029(23)\cdot 10^{-6}$, respectively. These results are orders of magnitude more accurate than previous ones, and, with the ongoing measurement of the nuclear magnetic moment of ${}^3$He${}^{+}$ and planned ${}^3$He${}^{2+}$, they open the window for high-precision absolute magnetometry using ${}^3$He NMR probes. The presented theoretical approach is applicable to all other light atomic and molecular systems, which facilitates the improved determination of magnetic moments of any light nuclei.

6 pages

References in corpus (6)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Complete two-loop correction to the bound-electron g factor
• Nonrelativistic QED approach to the Lamb shift
• Direct high-precision measurement of the magnetic moment of the proton
• New Limit on the Permanent Electric Dipole Moment of ${}^{129}$Xe using ${}^3$He Comagnetometry and SQUID Detection
• Ultrasensitive 3He magnetometer for measurements of high magnetic fields

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• Relativistic treatment of diamagnetic susceptibility of helium
• Nuclear magnetic shielding in HD and HT
• Nuclear polarizability effects in ${}^3$He${}^{+}$ hyperfine splitting
• Nuclear magnetic shielding in heliumlike ions
• Accurate determination of ${}^{6,7}$Li nuclear magnetic moments
• 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
• Magnetic shielding in the atomic hydrogen anion