Role of hyperfine interaction in Land\'e g-factors of 3\!Po0 clock states
Abstract
In the weak-magnetic-field approximation, we derived a general expression of hyperfine-induced Land\'e g-factors. By using this formula and the multi-configuration Dirac-Hartree-Fock theory, the g-factors were calculated for the 3s3p~3\!Po0 clock state in 27Al+ and 5s5p~3\!Po0 in 87Sr. The present results, δ g(1) hfs(3\!Po0) = -1.183(6) × 10-3 for 27Al+ and δ g(1) hfs(3\!Po0) = 7.78(30) × 10-5 for 87Sr agree with experimental values very well. Our theory is also useful to predict hyperfine-induced Land\'e g-factors for other atomic systems.
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