QED theory of the nuclear magnetic shielding in hydrogen-like ions

Abstract

The shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions is calculated ab initio with inclusion of relativistic, nuclear, and quantum electrodynamics (QED) effects. The QED correction is evaluated to all orders in the nuclear binding strength parameter and, independently, to the first order in the expansion in this parameter. The results obtained lay the basis for the high-precision determination of nuclear magnetic dipole moments from measurements of the g-factor of hydrogen-like ions.

4 pages, 2 tables, 2 figures

References in corpus (8)

• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Nuclear charge radius of ${}^8$He
• Complete two-loop correction to the bound-electron g factor
• Nonrelativistic QED approach to the bound-electron g factor
• Relativistic, QED, and nuclear mass effects in the magnetic shielding of ${}^3$He
• Self-energy correction to the hyperfine splitting and the electron g factor in hydrogen-like ions
• Hyperfine structure of Li and Be^+
• Electron self-energy in the presence of magnetic field: hyperfine splitting and g factor

Cited by in corpus (26)

• Highly charged ions: optical clocks and applications in fundamental physics
• Experimental access to higher-order Zeeman effects by precision spectroscopy of highly charged ions in a Penning trap
• Progress in quantum electrodynamics theory of highly charged ions
• Theory of bound-electron g factor in highly charged ions
• Direct measurement of the ${}^3$He${}^{+}$ magnetic moments
• Nuclear Shape Effect on the g Factor of Hydrogenlike Ions
• QED calculation of the nuclear magnetic shielding for hydrogen-like ions
• Many body study of $g$-factor in boron-like argon
• Theory of the two-loop self-energy correction to the $\mathbf{g}$ factor in non-perturbative Coulomb fields
• QED effects on the nuclear magnetic shielding of ${}^3$He
• Calculations of QED effects with the Dirac Green function
• Nuclear-size self-energy and vacuum-polarization corrections to the bound-electron g factor
• Self-energy screening effects in the $g$ factor of Li-like ions
• Non-perturbative analysis of nuclear shape effects on the bound electron g factor
• Electron correlation effects on the $g$ factor of lithiumlike 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
• One-loop electron self-energy with accelerated partial-wave expansion in Coulomb gauge
• Nuclear magnetic shielding in heliumlike ions
• QED theory of the nuclear magnetic shielding in H and ${}^3$He
• Diamagnetic susceptibility of neon and argon including leading relativistic effects
• Relativistic and quantum electrodynamics effects on NMR shielding tensors of Tl$X$ ($X$ = H, F, Cl, Br, I, At) molecules
• QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions
• $g$ factor of the $2p_j$ excited states in lithium-like ions