Abstract

Theoretical studies on hyperfine-interaction-dependent lifetimes of the $4s4p\phantom{\rule{0.2em}{0ex}}^{3}P_{2}$ states of Zn-like ions are reported in this paper. A systematic investigation along the isoelectronic sequence shows that the lifetime of the $4s4p\phantom{\rule{0.2em}{0ex}}^{3}P_{2}$ level is very sensitive to hyperfine interaction at the beginning of the sequence, but gets less sensitive going to the higher end. The intensity ratio between the $4{s}^{2}\phantom{\rule{0.2em}{0ex}}^{1}S_{0}\text{\ensuremath{-}}4s4p\phantom{\rule{0.2em}{0ex}}^{3}P_{2}$ and the $4s4p\phantom{\rule{0.2em}{0ex}}^{3}P_{1}\text{\ensuremath{-}}4s4p\phantom{\rule{0.2em}{0ex}}^{3}P_{2}$ transitions was also investigated and it is shown that this ratio is very sensitive to hyperfine interaction. In some isotopes the two branches are dominated by transitions from different upper hyperfine levels. Our research also reveals that the hyperfine-induced electric dipole transitions contribute to the transitions of $4{s}^{2}\phantom{\rule{0.2em}{0ex}}^{1}S_{0}\text{\ensuremath{-}}4s4p\phantom{\rule{0.2em}{0ex}}^{3}P_{2}$ at about the same level as, or even higher than, $M2$ transitions whenever the nucleus has a spin. This is true all along the isoelectronic sequence.

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