Multiconfigurational Hartree-Fock Calculations of the Hyperfine Structure Constants for the 1 s² 2 s~²S and 1 s² 2 p~²P States of ⁷Li and ⁹Be⁺

抄録

Hyperfine structure constants are precisely calculated for the 1s²2s~²S_1/2 and 1s²2p~²P_{1/2, 3/2} states of the ⁷Li atom and the ⁹Be⁺ ion. To describe accurately the core polarization, which is important for the hyperfine structure, wave functions are generated with a large-scale multiconfigurational Hartree-Fock method. Corrections due to the finite nuclear mass and size, the relativistic effect, and the quantum electrodynamics (QED) effect are considered. The effect of the finite nuclear size includes that of the nuclear magnetization structure (Bohr-Weisskopf effect). The corrected values of the magnetic dipole and the electric quadrupole hyperfine structure constants of ⁷Li are determined to be A_1/2=401.7033(790) MHz for the ²S_1/2 state, and A_1/2=45.98429(715) MHz, A_3/2=-3.13482(55) MHz, and B_3/2=-0.208395(10) MHz for the ²P_{1/2, 3/2} states. The corresponding values for ⁹Be⁺ are A_1/2=-625.0608(1720) MHz, and A_1/2=-117.9819(247) MHz, A_3/2=-0.9381(18) MHz, and B_3/2=2.26490(14) MHz. The present result shows a satisfactory agreement with experiments.