Abstract

A theory for the calculation of self-energy corrections to the nuclear magnetic parameters is given in this paper. It is based on the S-matrix formulation of bound-state quantum electrodynamics (QED). Explicit expressions for the various terms of the S-matrix are given. The interpretation of the self-energy, one- and two-vertex terms and some perspective for possible future developments are discussed.

Highlights

  • Relativistic effects are at the moment starting to be included routinely in calculations of magnetic molecular properties on molecular systems that contain heavy atoms

  • Goidenko and Pyykko found that the bound-state quantum electrodynamics (QED) contributions to the g-factor of valence ns electrons in alkali metal atoms is as large as 10 % for Rb and less for the other atoms of that series.1They showed that the radiative corrections for the heavy and superheavy atoms can rise up to 0.5% of the ionization energy.[2]

  • We have given in this paper a theory for the inclusion of self-energy corrections to the nuclear magnetic parameters J and σ

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Summary

Introduction

Relativistic effects are at the moment starting to be included routinely in calculations of magnetic molecular properties on molecular systems that contain heavy atoms. Given that the experimental results for magnetic molecular properties have an increasing precision that is in average less than a few percent of its total value it would be important to relax the limitation of using classical fields in our calculations in order to include additional corrections. This is important from a formal point of view. Depending on the external potential we choose (arising from the nuclear magnetic moment or the external static magnetic field) we arrive to J or σ

Quantum electrodynamics perturbation theory
Self-energy effects on NMR properties
First order
Second order
Third order
Findings
Discussion
Concluding Remarks and Perspectives
Full Text
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