Relativistic Corrections to the Zeeman Effect of Helium Atom

The high-order relativistic corrections to the Zeeman g-factors of helium atom are calculated. All the relativistic correction the term describing the motion of the mass center are treated as the perturbations. Most of our results are in good agreement with those of Yan and Drake Phys. Rev. A50 (1994) R1980, who used the wavefunctions constructed by Hylleraas coordinates. For the correction δ_gL of g-factor of the 3³P state in ⁴He, our result, 2.91415 x 10^-7 a.u., should be more reasonable and accurate, although there are no experimental data available in the literature to compare.