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

doi:10.1088/1674-1056/ab821c

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 ²P_3/2, ²D_{3/2, 5/2}, and ²F_5/2,7/2 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⁺(²F_7/2) 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: ymyu@aphy.iphy.ac.cn;ycliu@ysu.edu.cn;bsuo@nwu.edu.cn

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 ²P_3/2, ²D_3/2,5/2, and ²F_5/2,7/2 states for Yb⁺ ion 2020 Chin. Phys. B 29 053101

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[1]	Theoretical study of the hyperfine interaction constants, Landé g-factors, and electric quadrupole moments for the low-lying states of the ⁶¹Ni^q+ ( q=11, 12, 14 , and 15) ions Ting-Xian Zhang(张婷贤), Yong-Hui Zhang(张永慧), Cheng-Bin Li(李承斌), and Ting-Yun Shi(史庭云). Chin. Phys. B, 2021, 30(1): 013101.

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

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Finite-field calculation of electric quadrupole moments of ²P_3/2, ²D_3/2,5/2, and ²F_5/2,7/2 states for Yb⁺ ion