Thallium 7plifetimes derived from experimental data andab initiocalculations of scalar polarizabilities

Abstract

Two different theoretical methods have been used to complete a new calculation of polarizability in the thallium 6p 1/2 , 7s, and 7p 1/2 states. The predictions of the two methods agree to within 1% for the 6p 1/2 and 7s states and 2% for 7p 1/2 state. We find that the theoretical expression for the 6p 1/2 − 7s transition polarizability difference, ∆α0, is dominated (greater than 90% contribution) by mixing of the 7s state with the 7p 1/2 and 7p 3/2 states. By comparing the theoretical expression to an existing measurement of ∆α0 [Doret et al., Phys. Rev. A 66, 052504 (2002)], new, highly-accurate values for the thallium 7p excited-state lifetimes have been extracted. The scalar polarizability of the 7p 1/2 state is also computed, anticipating an experimental determination of this quantity, which will then enable a high-precision determination of the 6dj − 7p j ′ transition rates and provide a benchmark test of the two theoretical approaches in the near future.I.

Relativistic all-order many-body calculation of energies, wavelengths, and M1 and E2 transition rates for the 3dnSafronova1, Safronova2, Porsev3 et al. 2018Phys. Rev. ASelf Cite18190View full textAdd to dashboardCite

“…The CI+all-order method was used to accurately evaluate properties of atomic systems with two to four valence electrons [9][10][11][12][13][14][15][16], including superheavy elements No, Lr and Rf [17]. An advantage of this approach is an ability to include core correlations for all core shells together with the accurate description of the valence electronic correlations.…”

Relativistic configuration interaction plus linearized-coupled-cluster calculations ofU2+energies,gfactors, transition rates, and lifetimes

“…The CI+LCC method was used to evaluate properties of atomic systems with two to four valence electrons [25][26][27][28][29][30][31]. This method was also used to calculate atomic properties of the superheavy elements No, Lr and Rf by Dzuba et al [32].…”

Relativistic many-body calculations of van der Waals coefficients for Yb-Li and Yb-Rb dimers

“…This approach has been demonstrated to give accurate results for energies, transition properties, and polarizabilities for a variety of divalent and trivalent neutral atoms and ions [29,[41][42][43][44]. The application of this method for Yb has been discussed in [29,30] and we give only a brief outline below.…”

“…We calculated the Yb properties needed for this work using the method that combines configuration interaction (CI) and the coupled-cluster all-order approach (CI+allorder) that treats both core and valence correlation to all orders [40][41][42]. This approach has been demonstrated to give accurate results for energies, transition properties, and polarizabilities for a variety of divalent and trivalent neutral atoms and ions [29,[41][42][43][44]. The application of this method for Yb has been discussed in [29,30] and we give only a brief outline below.…”