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

H. B. Tran Tan* and A. Derevianko

  • Department of Physics, University of Nevada, Reno, Nevada 89557, USA

  • *Corresponding author: htrantan@unr.edu
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Phys. Rev. A 107, 042809 – Published 18 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.042809

Abstract

We compute the reduced electric-dipole matrix elements 〈nS1/2||D||n′PJ〉 with n=6,7 and n′=6,7,...,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 ξn,n′≡(1/2)〈nS1/2||D||n′P1/2〉/〈nS1/2||D||n′P3/2〉 which is important for experimental determination of matrix elements. The ratios ξ6,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.

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Phys. Rev. A 107, 042809– Published 18 April, 2023
  • Received 6 March 2023
  • Accepted 4 April 2023
Article part of CHORUS
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