We have investigated the radiative decay of the metastable level
5d4D7∕2 in
Xe+. Theoretically we find the decay to be heavily dominated by an
M2 transition and not by
M1∕E2 transitions. Lifetime measurements of
5d4D7∕2 in a storage ring are difficult since magnetic mixing of the metastable with a short-lived level quenches its population. Decay rates were determined at different magnetic field strengths
(B) in order to allow a nonlinear extrapolation to
B=0. The experimental lifetime of $2.4\ifmmode\pm\else\textpm\fi{}0.8\phantom{\rule{0.3em}{0ex}}\mathrm{s}$ was in agreement with the calculated value, but much smaller than previously estimated.
The lifetimes of the metastable
1s2s2p4P5/2 level of ${\mathrm{He}}^{\ensuremath{-}},$ as well as the lifetime of the average of the
4P3/2 and
4P1/2 levels, have been measured using a new type of ion trap that stores keV ion beams using electrostatic fields only. The use of a pure electrostatic field avoids the complication of magnetic-field-induced mixing effects, which can interfere with the measurement of the spontaneous decay. The measured lifetime for the
4P5/2 state, after correction for decay induced by blackbody radiation, is $343\ifmmode\pm\else\textpm\fi{}10 \ensuremath{\mu}\mathrm{s}.$ This value is consistent with previous experiments, and in excellent agreement with the most recent theoretical calculations. The average lifetime of the
4P3/2 and
4P1/2 is $8.9\ifmmode\pm\else\textpm\fi{}0.2 \ensuremath{\mu}\mathrm{s},$ which is about 20% lower than the weighted theoretical value.