QED calculation of the nuclear magnetic shielding for hydrogen-like ions

Abstract

We report an ab initio calculation of the shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions. This investigation takes into account several effects that have not been calculated before (electron self-energy, vacuum polarization, nuclear magnetization distribution), thus bringing the theory to the point where further progress is impeded by the uncertainty due to nuclear-structure effects. The QED corrections are calculated to all orders in the nuclear binding strength parameter and, independently, to the leading order in the expansion in this parameter. The results obtained lay the ground for the high-precision determination of nuclear magnetic dipole moments from measurements of the g-factor of hydrogen-like ions.

References in corpus (9)

• Complete two-loop correction to the bound-electron g factor
• Nonrelativistic QED approach to the Lamb shift
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• QED effects on the nuclear magnetic shielding of ${}^3$He
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• Self-energy screening effects in the $g$ factor of Li-like ions
• Relativistic and QED corrections to one-bond indirect nulcear spin-spin couplings in X${}_2^{2+}$ and X${}_3^{2+}$ ions (X = Zn, Cd, Hg)
• Relativistic treatment of diamagnetic susceptibility of helium
• QED calculations of the nuclear recoil effect on the bound-electron $g$ factor
• Refined nuclear magnetic dipole moment of rhenium: ${}^{185}$Re and ${}^{187}$Re
• Nuclear magnetic shielding in heliumlike ions
• Relativistic and quantum electrodynamics effects on NMR shielding tensors of Tl$X$ ($X$ = H, F, Cl, Br, I, At) molecules
• Diamagnetic susceptibility of neon and argon including leading relativistic effects
• QED theory of the nuclear magnetic shielding in H and ${}^3$He
• QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions
• Fermion selective tests of new physics with the bound electron g-factor