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

doi:10.1088/1674-1056/ac0130

中国物理B ›› 2021, Vol. 30 ›› Issue (12): 123204-123204.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

收稿日期:2021-02-23 修回日期:2021-05-10 接受日期:2021-05-14 出版日期:2021-11-15 发布日期:2021-12-01
通讯作者: Hong-Xin Zou E-mail:hxzou@nudt.edu.cn
基金资助:
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).

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

Received:2021-02-23 Revised:2021-05-10 Accepted:2021-05-14 Online:2021-11-15 Published:2021-12-01
Contact: Hong-Xin Zou E-mail:hxzou@nudt.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: Zeeman effect, isotope shift, aluminum ion optical clock, MCDHF method

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.

Key words: Zeeman effect, isotope shift, aluminum ion optical clock, MCDHF method

中图分类号: (Zeeman and Stark effects)

32.60.+i

31.30.Gs (Hyperfine interactions and isotope effects) 32.10.Fn (Fine and hyperfine structure) 31.15.ac (High-precision calculations for few-electron (or few-body) atomic systems)

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[J]. 中国物理B, 2021, 30(12): 123204-123204.

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

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

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