中国物理B ›› 2025, Vol. 34 ›› Issue (11): 113101-113101.doi: 10.1088/1674-1056/adf82c

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Precision calculation of 4,6,8He isotope shifts

Xiao-Qiu Qi(戚晓秋)1,†, Xing-Han Dong(董星汉)1, Fang-Fei Wu(吴芳菲)2,‡, Zong-Chao Yan(严宗朝)4,3, Li-Yan Tang(唐丽艳)3, Zhen-Xiang Zhong(钟振祥)5, and Ting-Yun Shi(史庭云)3   

  1. 1 Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China;
    2 College of Sciences, China Jiliang University, Hangzhou 310018, China;
    3 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
    4 Department of Physics, University of New Brunswick, New Brunswick E3B 5A3, Canada;
    5 Center for Theoretical Physics, Hainan University, Haikou 570228, China
  • 收稿日期:2025-06-19 修回日期:2025-07-18 接受日期:2025-08-06 发布日期:2025-11-10
  • 通讯作者: Xiao-Qiu Qi, Fang-Fei Wu E-mail:xqqi@zstu.edu.cn;fangfeiwu@cjlu.edu.cn
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 12204412, 12274423, 12174402, 12393821, and 12004124), as well as by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDB0920100 and XDB0920101). Z. C. Y. acknowledges support from the Natural Sciences and Engineering Research Council of Canada. All calculations were performed on the APM-Theoretical Computing Cluster (APM-TCC).

Precision calculation of 4,6,8He isotope shifts

Xiao-Qiu Qi(戚晓秋)1,†, Xing-Han Dong(董星汉)1, Fang-Fei Wu(吴芳菲)2,‡, Zong-Chao Yan(严宗朝)4,3, Li-Yan Tang(唐丽艳)3, Zhen-Xiang Zhong(钟振祥)5, and Ting-Yun Shi(史庭云)3   

  1. 1 Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China;
    2 College of Sciences, China Jiliang University, Hangzhou 310018, China;
    3 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
    4 Department of Physics, University of New Brunswick, New Brunswick E3B 5A3, Canada;
    5 Center for Theoretical Physics, Hainan University, Haikou 570228, China
  • Received:2025-06-19 Revised:2025-07-18 Accepted:2025-08-06 Published:2025-11-10
  • Contact: Xiao-Qiu Qi, Fang-Fei Wu E-mail:xqqi@zstu.edu.cn;fangfeiwu@cjlu.edu.cn
  • About author:2025-113101-251071.pdf
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 12204412, 12274423, 12174402, 12393821, and 12004124), as well as by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDB0920100 and XDB0920101). Z. C. Y. acknowledges support from the Natural Sciences and Engineering Research Council of Canada. All calculations were performed on the APM-Theoretical Computing Cluster (APM-TCC).

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摘要： Standard perturbation theory is employed to calculate the mass shifts of the $2\,^1\!{\rm S}_0$-$2\,^3\!{\rm S}_1$ and $2\,^3\!{\rm S}_1$-$2\,^3\!{\rm P}_{\rm J}$ transitions for $^{4,6,8}{\rm He}$. High-precision results are obtained for the mass shifts in the isotope pairs $^6{\rm He}$-$^4{\rm He}$ and $^8{\rm He}$-$^4{\rm He}$, with uncertainties below 1 part per million (ppm). Our analysis provides a complete set of isotope-shift results and systematically examines their sensitivity to nuclear charge-radius differences. Once experimental measurements reach a precision comparable to that of the calculated mass shifts, the squared differences of nuclear charge radii can be determined with an accuracy of approximately $0.4\%$-$0.6\%$, representing an order-of-magnitude improvement over current values.

关键词: isotope shifts, nuclear charge radius, atomic spectroscopy, quantum electrodynamic

Abstract: Standard perturbation theory is employed to calculate the mass shifts of the $2\,^1\!{\rm S}_0$-$2\,^3\!{\rm S}_1$ and $2\,^3\!{\rm S}_1$-$2\,^3\!{\rm P}_{\rm J}$ transitions for $^{4,6,8}{\rm He}$. High-precision results are obtained for the mass shifts in the isotope pairs $^6{\rm He}$-$^4{\rm He}$ and $^8{\rm He}$-$^4{\rm He}$, with uncertainties below 1 part per million (ppm). Our analysis provides a complete set of isotope-shift results and systematically examines their sensitivity to nuclear charge-radius differences. Once experimental measurements reach a precision comparable to that of the calculated mass shifts, the squared differences of nuclear charge radii can be determined with an accuracy of approximately $0.4\%$-$0.6\%$, representing an order-of-magnitude improvement over current values.

Key words: isotope shifts, nuclear charge radius, atomic spectroscopy, quantum electrodynamic

中图分类号:  (High-precision calculations for few-electron (or few-body) atomic systems)

  • 31.15.ac
31.30.jc (Relativistic corrections to atomic structure and properties) 31.30.jf (QED calculations of level energies, transition frequencies, fine structure intervals (radiative corrections, self-energy, vacuum polarization, etc.)) 31.15.vj (Electron correlation calculations for atoms and ions: excited states)