Residual electronic correlation and QED effects in fine-structure splitting of ground configuration for the boron isoelectronic sequence

Abstract

Forbidden M1 and E2 transition rates as well as the fine-structure splitting between 1s22s22p2P3/2and 2P1/2have been calculated using the multiconfiguration Dirac–Hartree–Fock (MCDHF) and relativistic configuration interaction (RCI) methods for the boron isoelectronic sequence with Z = 5∼92. The results are compared with other theoretical calculations and available experimental data. The differences have been obtained and the dependence of relative differences on atomic number Z is analyzed by the least square method. It is found that there is good continuity and smoothness in the relative differences, which can be used to describe the residual correction from electron correlation and quantum electrodynamic (QED) effects. This paper attempts to find an empirical formula to describe the relationship between the present calculation and other theoretical and experimental results. Finally, the fine-structure splitting, M1 and E2 transition probabilities and the lifetime of the excited state 1s22s22p2P3/2have been estimated by the same empirical formula with combining the present calculation with the experimental data and other theoretical results.

Keywords

• Electron correlation effect
• Quantum electrodynamic effect
• Forbidden transition
• Fine-structure splitting
• Boron isoelectronic sequence