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Relativistic Corrections to the Zeeman Effect of Helium Atom

The high-order relativistic corrections to the Zeeman g-factors of the helium atom are calculated. All the relativistic correction terms and the term describing the motion of the mass centre are treated as perturbations. Most of our results are in good agreement with those of Yan and Drake [Phys. Rev. A 50 (1994) R1980], who used the wavefunctions constructed by Hylleraas coordinates. For the correction δgL of the g-factor of the 3 3P state in 4He, our result, 2.91415×10-7 a.u., should be more reasonable and accurate, although there are no experimental data available in the literature to compare.