Abstract
The extremely long lifetimes of the metastable $D$ states of the ${\mathrm{Ba}}^{+}$ ion make it difficult to measure them accurately due to their high sensitivity to collisional effects. Thus a discrepancy exists between theories and experiments for the ${\mathrm{Ba}}^{+}$ ${D}_{3/2}$ state. We have measured the ${D}_{3/2}$ lifetime under a nearly ideal condition, i.e., single trapped ${\mathrm{Ba}}^{+}$ ions in ultrahigh vacuum. The obtained value of $79.8\ifmmode\pm\else\textpm\fi{}4.6\mathrm{s}$ resolves the existing discrepancy. The collisional quenching is found insignificant in our experiment, but there are indications of a non-negligible fine-structure mixing effect.
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