Hyperfine-induced \boldmath{$2s2p\,^3P_0 - 2s^2\,^1S_0$} transition in Be-like ions

The hyperfine-induced $2s2p\,^3P_0 - 2s^2\,^1S_0$ transition rate for Be-like $^{47}$Ti$^{18+}$ is recently measured in a storage-ring experiment by Schippers {\it et al.}\ [Phys.Rev.Lett.\ {\bf 98}, 033001 (2007)]. The measured value of 0.56(3) s$^{-1}$ is almost 60\% larger than the multiconfiguration Dirac-Fock value of 0.356 s$^{-1}$ by Marques {\it et al.}[Phys. Rev. A {\bf 47}, 929 (1993)]. In this work, we use a large-scale relativistic configuration-interaction method to calculate this hyperfine-induced rate. Coherent hyperfine-quenching effects between the $2s2p\,^3P_1$ and $^1P_1$ states are included in a radiation damping formalism. Contrary to the findings of Marques {\it et al.}, contributions from the $^1P_1$ state are substantial and lead to much better agreement with experiment.