Hyperfine interaction constants and Landé <i>g</i> factors of clock states of Al-like ions

Abstract

The highly charged Al-like ions are the potential candidates for the next-generation atomic optical clocks, and their atomic parameters are also useful in plasma and nuclear physics. In the present work, the hyperfine interaction constants and Landé <i>g</i> factors of 3s²3p ²P_{1/2, 3/2} states in the ground configuration for Al-like ions in a range between Si⁺ and Kr²³⁺ ions are calculated by using the multi-configuration Dirac-Hartree-Fock method. Owing to the fact that hyperfine interaction constant is sensitive to electron correlation effects, we systematically investigate its influence on the hyperfine interaction constants, particularly for the high-order correlation related to the 2p electrons. According to this investigation and by taking into account the Breit interaction and QED corrections, we achieve the computational accuracy at a level of 1% and 10^–5 for the hyperfine interaction constants and Landé <i>g</i> factors, respectively, except for the Si⁺ ion. Furthermore, the electronic parts of hyperfine interaction constants and <i>g</i> factors are fitted with functions of atomic number. The deviations between these fitted formulas and the <i>ab initio</i> calculations are less than 2% and 10^–5 for the hyperfine interaction constants and the g factors, respectively. As a result, the hyperfine interaction constants and <i>g</i> factors of all isotopes can be determined for Al-like ions with 14 ≤ <i>Z</i> ≤ 54.