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Chin. Phys. B, 2020, Vol. 29(4): 043101    DOI: 10.1088/1674-1056/ab75d0
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

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 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
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.
Keywords:  polrizabilities      analytical formula      hydrogen-like ions  
Received:  13 December 2019      Revised:  16 January 2020      Accepted manuscript online: 
PACS:  31.15.ap (Polarizabilities and other atomic and molecular properties)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11674253, 11474316, and 91636216).
Corresponding Authors:  Haoxue Qiao     E-mail:  qhx@whu.edu.cn

Cite this article: 

Xuesong Mei(梅雪松), Wanping Zhou(周挽平), Zhenxiang Zhong(钟振祥), Haoxue Qiao(乔豪学) Analytical expressions of non-relativistic static multipole polarizabilities for hydrogen-like ions 2020 Chin. Phys. B 29 043101

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