Electron shielding of the nuclear magnetic moment in hydrogen-like atom

Abstract

The correction to the wave function of the ground state in a hydrogen-like atom due to an external homogenous magnetic field is found exactly in the parameter $Z\alpha$. The $j=1/2$ projection of the correction to the wave function of the $n{s}_{1/2}$ state due to the external homogeneous magnetic field is found for arbitrary $n$. The $j=3/2$ projection of the correction to the wave function of the $n{s}_{1/2}$ state due to the nuclear magnetic moment is also found for arbitrary $n$. Using these results, we have calculated the shielding of the nuclear magnetic moment by the $n{s}_{1/2}$ electron.

15 pages

References in corpus (2)

• Nonrelativistic QED approach to the bound-electron g factor
• Zeeman effect of the hyperfine structure levels in hydrogenlike ions

Cited by in corpus (9)

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• Nuclear magnetic shielding in heliumlike ions
• QED theory of the nuclear magnetic shielding in H and ${}^3$He
• Closed-form expression for the magnetic shielding constant of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
• Comment on "Four-component relativistic theory for NMR parameters: Unified formulation and numerical assessment of different approaches" [J. Chem. Phys. 130, 144102 (2009)]