Magnetic-dipole transition probabilities in B-like and Be-like ions

The magnetic-dipole transition probabilities between the fine-structure levels $\left(1s^{2}2s^{2}2p\right)$ ${}^{2}P_{1∕2}–{}^{2}P_{3∕2}$ for B-like ions and $\left(1s^{2}2s2p\right)$ ${}^{3}P_1–{}^{3}P_2$ for Be-like ions are calculated. The configuration-interaction method in the Dirac-Fock-Sturm basis is employed for the evaluation of the interelectronic-interaction correction with negative-continuum spectrum being taken into account. The $1∕Z$ interelectronic-interaction contribution is derived within a rigorous QED approach employing the two-time Green function method. The one-electron QED correction is evaluated within framework of the anomalous magnetic-moment approximation. A comparison with the theoretical results of other authors and with available experimental data is presented.