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Analytical expressions of non-relativistic static multipole polarizabilities for hydrogen-like ions
Authors:Xuesong Mei  Wanping Zhou  Zhenxiang Zhong  Haoxue Qiao
Affiliation:(School of Physics and Technology,Wuhan University,Wuhan 430072,China;Engineering and Technology College,Hubei University of Technology,Wuhan 430068,China;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.
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