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Chin. Phys. B, 2021, Vol. 30(12): 123204    DOI: 10.1088/1674-1056/ac0130

Theoretical calculations of hyperfine splitting, Zeeman shifts, and isotope shifts of 27Al+ and logical ions in Al+ clocks

Xiao-Kang Tang(唐骁康), Xiang Zhang(张祥), Yong Shen(沈咏), and Hong-Xin Zou(邹宏新)
College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China
Abstract  Based on the multiconfiguration Dirac-Hartree-Fock (MCDHF) method, similar models are employed to simultaneously calculate the first-order and second-order Zeeman coefficients as well as the hyperfine interaction constants of the related energy levels of 27Al+ and its logical ions 9Be+ and 25Mg+ in the 27Al+ optical clock. With less than 0.34% deviations from experimental values in Zeeman coefficients of 27Al+, these calculated parameters will be of great help for better evaluation of the systematic uncertainty. We also calculate the isotope shift parameters of the related energy levels, which could extend our knowledge and understanding of nuclear properties of these ions.
Keywords:  Zeeman effect      isotope shift      aluminum ion optical clock      MCDHF method  
Received:  23 February 2021      Revised:  10 May 2021      Accepted manuscript online:  14 May 2021
PACS:  32.60.+i (Zeeman and Stark effects)  
  31.30.Gs (Hyperfine interactions and isotope effects)  
  32.10.Fn (Fine and hyperfine structure) (High-precision calculations for few-electron (or few-body) atomic systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11604385 and 91536106), the Natural Science Foundation of Hunan Province, China (Grant No. 2019JJ50743), and the Research Project of the National University of Defense Technology (Grant No. ZK17-03-11).
Corresponding Authors:  Hong-Xin Zou     E-mail:

Cite this article: 

Xiao-Kang Tang(唐骁康), Xiang Zhang(张祥), Yong Shen(沈咏), and Hong-Xin Zou(邹宏新) Theoretical calculations of hyperfine splitting, Zeeman shifts, and isotope shifts of 27Al+ and logical ions in Al+ clocks 2021 Chin. Phys. B 30 123204

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