Hyperfine induced transitions probabilities from $4f^{14}5s5p{}^3{\mathrm{P}}_{0,2}^o$ states in Sm-like ions

The hyperfine induced $4f^{14}5s5p{}^3{\mathrm{P}}_{0,2}^o-4f^{14}5s^2{}^1{\mathrm{S}}_0$ transition probabilities for highly charged Sm-like ions are calculated in the framework of the multi-configuration Dirac-Hartree-Fock method. Electron correlation, the Breit interaction and quantum electrodynamical (QED) effects are taken into account. For ions ranging from $Z=79$ to $Z=94$, $4f^{14}5s5p{}^3{\mathrm{P}}_0^o$ is the first excited state, and the hyperfine induced transition is an dominant decay channel. For the $4f^{14}5s5p{}^3{\mathrm{P}}_2^o$ state, the hyperfine induced transition (HIT) rates of Sm-like ions with $Z=82-94$ are reported as well as the magnetic dipole (M1) ${}^3{\mathrm{P}}_2^o-{}^3{\mathrm{P}}_1^o$, the electric quadrupole (E2) ${}^3{\mathrm{P}}_2^o-{}^3{\mathrm{P}}_{0,1}^o$, and the magnetic quadrupole (M2) ${}^3{\mathrm{P}}_2^o-{}^1{\mathrm{S}}_0$ transition probabilities. It is found that M1 transition from the $4f^{14}5s5p{}^3{\mathrm{P}}_2^o$ state is the most important decay channel in this range on $Z\ge 82$.