Tingxian Zhang,^1,2 Luyou Xie,¹ Jiguang Li,^2,* and Zehuang Lu³
1 College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, People’s Republic of China
2 Institute of Applied Physics and Computational Mathematic, Beijing 100088, People’s Republic of China
3 MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and
Technology, Wuhan 430074, People’s Republic of China
(Received 13 April 2017; published 21 July 2017)

We calculated the magnetic dipole and the electric quadrupole hyperfine interaction constants of 3s3p ^3,1Po¹ states and the isotope shift, including mass and field shift, factors for transitions from these two states to the ground state 3s^{2 1}S₀ in Al⁺ ions using the multiconfiguration Dirac-Hartree-Fock method. The effects of the electron correlations and the Breit interaction on these physical quantities were investigated in detail based on the active space approach. It is found that the core-core and the higher order correlations are considerable for evaluating the uncertainties of the atomic parameters concerned. The uncertainties of the hyperfine interaction constants in this work are less than 1.6%. Although the isotope shift factors are highly sensitive to the electron correlations, reasonable uncertainties were obtained by exploring the effects of the electron correlations. Moreover, we found that the relativistic nuclear recoil corrections to the mass shift factors are very small and insensitive to the electron correlations for Al⁺. These atomic parameters present in this work are valuable for extracting the nuclear electric quadrupole moments and the mean-square charge radii of Al isotopes.

DOI: 10.1103/PhysRevA.96.012514