We present a measurement of the branching fractions for decay from the long-lived
5D5/2 level in
138Ba+. The branching fraction for decay into the
6S1/2 ground state was found to be
0.846(25)stat(4)sys. We also report an improved measurement of the
5D5/2 lifetime, ${\ensuremath{\tau}}_{5{D}_{5/2}}=31.2(0.9)$ s. Together these measurements provide an experimental determination of transition rates for decay out of the
5D5/2 level. The low ($<7\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}12}$ Torr) pressure in the ion trap in which these measurements were made simplified data acquisition and analysis. Comparison of the experimental results with theoretical predictions of the transition rates shows good agreement.
The authors have measured the population in each of the 5d 3/2 (m j ) ion states following autoionization of the (6p 3/2 nd) J=MJ=3 state by using a circularly polarized laser to excite the Ba + 5d 3/2 to 6p 1 2/ transition, and observing the polarized fluorescence of the Ba + 6p 1/2 to 6s 1/2 transition. The branching ratios for autoionization into each of the 5d 3/2 in l j channels can be related to these ion populations by using angular momentum algebra. The fractions of ions found in the m j =+3/2, +1/2, -1/2 and -3.2 state of the 5d 3/2 ion states were 5.9(+or-2.6)%, 4.5(+or-1.9)%, 3.2(+or-1.3)% and 1.9(+or-0.6)% respectively. This method can easily be generalized to measure the branching ratio for autoonization into other ion states.
The lifetimes of the
5p2P23 and
5p2P21 states of
Sr+ and the
6p2P23 and
6p2P21 states of
Ba+ have been measured by the Hanle-effect technique with optical excitation from the ion ground state. (The lifetimes of the
Mg+ 3p2P23 and
Ca+ 4p2P23 states were obtained by the same technique and reported previously.) These
Ca+,
Sr+, and
Ba+ states each decay to a
2D23,25 doublet as well as to the ground
2S21 state, and the branching ratios for these transitions have been measured. The ions were produced by introducing traces of the atomic vapor into an argon discharge. Consequently, the cross sections for collisional depolarization of these
2PJ states due to collisions with argon were also obtained from the measurements. The experimental results are given in Tables I and II. A discussion of the ion-atom collisional depolarization cross sections is included.