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Chin. Phys. B, 2020, Vol. 29(5): 053101    DOI: 10.1088/1674-1056/ab821c

Finite-field calculation of electric quadrupole moments of 2P3/2, 2D3/2,5/2, and 2F5/2,7/2 states for Yb+ ion

Xi-Tong Guo(郭希同)1,2, Yan-Mei Yu(于艳梅)2, Yong Liu(刘永)1, Bing-Bing Suo(索兵兵)3
1 State Key Laboratory of Metastable Materials Science and Technology&Key Laboratory for Microstructural Material Physics of Hebei Province, School of Science, Yanshan University, Qinhuangdao 066004, China;
2 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
3 Institute of Modern Physics, Northwest University, Xi'an 710069, China
Abstract  Electric quadrupole moments of low-lying excited states of Yb+ are calculated by relativistic coupled-cluster theory with perturbations from external fields. The field-dependent energy differentiation provides accurate values of the electric quadrupole moments of 2P3/2, 2D3/2, 5/2, and 2F5/2,7/2 states which agree well with experimental values. The important role of the electronic correlation to the electric quadrupole moments is investigated. Our calculations indicate the early dispute of the electric quadrupole moment of the Yb+(2F7/2) state for which the measured and theoretical values have a large discrepancy. These electric quadrupole moment values can help us to determine the electric quadrupole shifts in start-of-the-art experiments of the Yb+ ion.
Keywords:  Yb+      finite-field method      electric quadrupole moment      relativistic coupled-cluster  
Received:  19 February 2020      Revised:  10 March 2020      Accepted manuscript online: 
PACS:  31.15.ap (Polarizabilities and other atomic and molecular properties)  
  31.15.aj (Relativistic corrections, spin-orbit effects, fine structure; hyperfine structure)  
  32.10.Dk (Electric and magnetic moments, polarizabilities)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11874064), the Strategic Priority and the Research Program of the Chinese Academy of Sciences (Grant No. XDB21030300), the National Key Research and Development Program of China (Grant No. 2016YFA0302104). Yong Liu acknowledges the Project of Hebei Educational Department, China (Grant No. ZD2018015) and the Natural Science Foundation of Hebei Province, China (Grant No. A2019203507). Bing-Bing Suo acknowledges the financial support from the National Natural Science foundation of China (Grant Nos. 21673174 and 21873077).
Corresponding Authors:  Yan-Mei Yu, Yong Liu, Bing-Bing Suo     E-mail:;;

Cite this article: 

Xi-Tong Guo(郭希同), Yan-Mei Yu(于艳梅), Yong Liu(刘永), Bing-Bing Suo(索兵兵) Finite-field calculation of electric quadrupole moments of 2P3/2, 2D3/2,5/2, and 2F5/2,7/2 states for Yb+ ion 2020 Chin. Phys. B 29 053101

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