中国物理B ›› 2020, Vol. 29 ›› Issue (4): 43101-043101.doi: 10.1088/1674-1056/ab75d0

• ATOMIC AND MOLECULAR PHYSICS • 上一篇    下一篇

Analytical expressions of non-relativistic static multipole polarizabilities for hydrogen-like ions

Xuesong Mei(梅雪松), Wanping Zhou(周挽平), Zhenxiang Zhong(钟振祥), Haoxue Qiao(乔豪学)   

  1. 1 School of Physics and Technology, Wuhan University, Wuhan 430072, China;
    2 Engineering and Technology College, Hubei University of Technology, Wuhan 430068, China;
    3 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • 收稿日期:2019-12-13 修回日期:2020-01-16 出版日期:2020-04-05 发布日期:2020-04-05
  • 通讯作者: Haoxue Qiao E-mail:qhx@whu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11674253, 11474316, and 91636216).

Analytical expressions of non-relativistic static multipole polarizabilities for hydrogen-like ions

Xuesong Mei(梅雪松)1, Wanping Zhou(周挽平)2, Zhenxiang Zhong(钟振祥)3, Haoxue Qiao(乔豪学)1   

  1. 1 School of Physics and Technology, Wuhan University, Wuhan 430072, China;
    2 Engineering and Technology College, Hubei University of Technology, Wuhan 430068, China;
    3 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2019-12-13 Revised:2020-01-16 Online:2020-04-05 Published:2020-04-05
  • Contact: Haoxue Qiao E-mail:qhx@whu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11674253, 11474316, and 91636216).

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摘要： Analytical formulas for the static multipole polarizabilities of hydrogen-like ions are derived by using the analytical wave functions and the reduced Green function and by applying a numerical fitting procedure. Our results are then applied to the studies of blackbody radiation shifts to atomic energy levels at different temperatures. Our analytical results can be served as a benchmark for other theoretical methods.

关键词: polrizabilities, analytical formula, hydrogen-like ions

Abstract: Analytical formulas for the static multipole polarizabilities of hydrogen-like ions are derived by using the analytical wave functions and the reduced Green function and by applying a numerical fitting procedure. Our results are then applied to the studies of blackbody radiation shifts to atomic energy levels at different temperatures. Our analytical results can be served as a benchmark for other theoretical methods.

Key words: polrizabilities, analytical formula, hydrogen-like ions

中图分类号:  (Polarizabilities and other atomic and molecular properties)

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