Calculations of parity-nonconserving s-d amplitudes in Cs, Fr, Ba+, and Ra+
Jun, 2001
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Abstract: (APS)
We have performed ab initio mixed-states and sum-over-states calculations of parity-nonconserving (PNC) electric dipole (E1) transition amplitudes between s−d electron states of Cs, Fr, Ba+, and Ra+. For the lower states of these atoms we have also calculated energies, E1 transition amplitudes, and lifetimes. We have shown that PNC E1 amplitudes between s−d states can be calculated to high accuracy. Contrary to the Cs 6s−7s transition, in these transitions there are no strong cancellations between different terms in the sum-over-states approach. In fact, there is one dominating term which deviates from the sum by less than 20%. This term corresponds to an s−p1/2 weak matrix element, which can be calculated with an accuracy of better than 1%, and a p1/2−d3/2 E1 transition amplitude, which can be measured. Also, the s−d amplitudes are about four times larger than the corresponding s−s amplitudes. We have shown that by using a hybrid mixed-states–sum-over-states approach the accuracy of the calculations of PNC s−d amplitudes could compete with that of Cs 6s−7s if p1/2−d3/2 E1 amplitudes are measured to high accuracy.Note:
- 15 pages, 8 figures, submitted to Phys. Rev. A
- 32.80.Ys
- 31.15.Ar
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