Theoretical study on ground-state hyperfine structure for boron-like ions with 6 ≤ Z ≤ 36

Abstract

The hyperfine structure constants of the 1s²2s²2p ²P_1/2 and ²P_3/2 states in the boron-like isoelectronic sequence with nuclear charges Z = 6 to 36 were calculated using the multiconfiguration Dirac-Hartree-Fock (MCDHF) method. In these calculations, we included electron correlation, Breit interaction, and one-electron quantum electrodynamics (QED) corrections. It was found that taking into account the 1s core electron correlation and higher-order electron correlation (i.e., triple and quadrupole excitations) effects improves the accuracy of the hyperfine structure constants to the order of 10^–5 ∼ 10^–6. Additionally, we obtained fitting formulas for the hyperfine structure constants as a function of Z, useful to predict hyperfine structure constants for any isotopes of boron-like ions in the region of 6 ≤ Z ≤ 36.