Electric dipole transition amplitudes for atoms and ions with one valence electron

Abstract

Motivated by recent measurements for several alkali-metal atoms and alkali-metal-like ions, we perform a detailed study of electric dipole (E1) transition amplitudes in K, Ca+, Rb, Sr+, Cs, Ba+, Fr, and Ra+, which are of interest for studies of atomic parity violation, electric dipole moments, and polarizabilities. Using the all-orders correlation potential method, we perform high-precision calculations of E1 transition amplitudes between low-lying s, p, and d states. We perform a robust error analysis, and compare our calculations to many amplitudes for which there are high-precision experimental determinations. We find excellent agreement, with deviations at the level of ~0.1%. We also compare our results to other theoretical evaluations, and discuss the implications for uncertainty analyses. Further, combining calculations of branching ratios with recent measurements, we extract high-precision values for several E1 amplitudes of Ca+, Sr+, Cs, Fr, and Ra+.

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Cited by in corpus (7)

• QED calculations of the E1 transition amplitude in neon-like iron and nickel
• Theoretical characterisation of the barium II and radium II ions
• Basis set calculations of heavy atoms
• The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule
• Vacuum polarization corrections to hyperfine structure in many-electron atoms
• Breit corrections to moderately charged ions in all-orders calculations
• Zero crossings of the differential scalar polarizability of Ba${}^{+}$ clock transition