Correlation effects in Yb+and implications for parity violation

Abstract

Calculation of the energies, magnetic dipole hyperfine structure constants, E1 transition amplitudes between the low-lying states, and nuclear spin-dependent parity-nonconserving amplitudes for the 2 S 1/2 -2 D 3/2,5/2 transitions in 171 Yb + ion is performed using two different approaches. First, we carried out many-body perturbation theory calculation considering Yb + as a monovalent system. Additional all-order calculations are carried out for selected properties. Second, we carried out configuration interaction calculation considering Yb as a 15-electron system and compared the results obtained by two methods. The accuracy of different methods is evaluated. We find that the monovalent description is inadequate for evaluation of some atomic properties due to significant mixing of the one-particle and the hole-two-particle configurations. Performing the calculation by such different approaches allowed us to establish the importance of various correlation effects for Yb + atomic properties for future improvement of theoretical precision in this complicated system.

Spectroscopy of the S1/22→P3/22Feldker1, Fürst2, Ewald3 et al. 2018Phys. Rev. A11040View full textAdd to dashboardCite

“…[19] Th. [20] The magnetic-dipole hyperfine structure constant A 2 P 3/2 measured by our group is consistent with previous measurements (Exp.) but deviates significantly from theory (Th.)…”

“…While many transitions between low-lying electronic states in Yb + have been studied with great precision [10,[13][14][15][16], there has been only one measurement of the isotope shifts in the 2 S 1/2 → 2 P 3/2 (D2) transition as well as of the hyperfine splitting of the 2 P 3/2 state [17] so far, which was performed in a hollow-cathode discharge lamp. Remarkably, the experimental result for the hyperfine splitting disagrees with theoretical predictions [18][19][20][21][22]. Although there has been a lot of theoretical work on transition amplitudes for the decay of the 2 P 3/2 state [19-21, 23, 24], there seems to be no experimental data available for the branching ratios of the decay of the 2 P 3/2 state up until now.…”

“…We use sidebands at 3940 MHz to excite both transitions efficiently. With a hyperfine splitting of the 2 F 7/2 state of 3620(2) MHz [14], we determine an energy splitting of the upper 1 D [5/2] 5/2 state of 320 (20) MHz and a hyperfine constant A( 1 D [5/2] 5/2 ) = −107(6) MHz. There seems to be no previous experimental data available for the 1 D [5/2] 5/2 hyperfine splitting, only a theoretical estimation of A = 199 MHz [31], which deviates significantly from the value we find in the experiment.…”

Hypermetallic polar molecules for precision measurements

“…A completely negligible contribution arose from all configurations in which an electron vacated the doubly occupied f or bonding orbitals. This suggests that, at least in this specific case, molecular Yb has significantly simpler electronic structure than atomic Yb + [62,63], as mentioned at the end of Section II B.…”

An optimized ion trap geometry to measure quadrupole shifts of 171 Yb + clocks

“…A recent theoretical study suggests a more precise Θ value of the 5d 2 D 3/2 state [16]. Similarly, three independent theoretical investigations [16,28,29] shows very large disagreements than the measured [8] Θ value of the 4f 13 6s 2 2 F 7/2 state. Therefore, it is imperative to carry out further investigations to attain more precise and reliable values of Θs and probe the reason for the anomalies between the calculated and experimental results.…”