Precision theoretical determination of electric-dipole matrix elements in atomic cesium

Abstract

We compute the reduced electric-dipole matrix elements $⟨n{S}_{1/2}||D||n^{\prime }{P}_J⟩$ with $n=6,7$ and $n^{\prime }=6,7,\dots ,12$ in cesium using the most complete to date ab initio relativistic coupled-cluster method which includes singles, doubles, perturbative core triples, and valence triples. Our results agree with previous calculations at the linearized single double level but also show large contributions from nonlinear singles and doubles as well as valence triples. We also calculate the normalized ratio ${\xi }_{n,n^{\prime }}\equiv (1/\sqrt{2})⟨n{S}_{1/2}||D||n^{\prime }{P}_{1/2}⟩/⟨n{S}_{1/2}||D||n^{\prime }{P}_{3/2}⟩$ which is important for experimental determination of matrix elements. The ratios ${\xi }_{6,n}$ display large deviations from the nonrelativistic limit which we associate with Cooper-like minima. Several appendices are provided where we document the procedure for constructing finite basis sets and our implementation of the random phase approximation and Brueckner-orbitals method.

26 pages, 17 figures v.2: uncertainties for removal energies provided, further comments and additional references added, typos corrected

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• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Relativistic coupled-cluster single-double method applied to alkali-metal atoms
• Precision lifetime measurement of the cesium $6P_{3/2}$ level using ultrafast pump-probe laser pulses
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Cited by in corpus (1)

• An optical atomic clock using $4D_J$ states of rubidium