Leading-order relativistic corrections to the Zeeman splitting of hyperfine structure levels in two-fermion bound-state systems (original) (raw)

Abstract

A relativistic theory of the Zeeman splitting of hyperfine levels in two-fermion systems is presented. The approach is based on the variational equation for bound states derived from quantum electrodynamics . Relativistic corrections to the g-factor are obtained up to O (α) 2 . Calculations are provided for all quantum states and for arbitrary fermionic mass ratio. In the one-body limit our calculations reproduce the formula for the g-factor (to O (Zα) 2 ) obtained from the Dirac equation. The results will be useful for comparison with high-precision measurements. (S 1 ) J and f (S 1 ) J are taken as f (S 1 ) J =

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