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arXiv · 2103.07928

Relativistic coupled-cluster-theory analysis of the hyperfine interaction of Ra$^{+}$ isotopes

Fei-Chen Li·Yong-Bo Tang·Hao-Xue Qiao·Ting-Yun Shi
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Abstract

Hyperfine-structure constants of odd Ra$^{+}$ due to the interactions of nuclear magnetic dipole, electric quadrupole, and magnetic octupole moments with the electrons are investigated in the framework of relativistic coupled-cluster method within single- and double-excitation approximation. The calculated energies and magnetic dipole hyperfine-structure constants $A$ exhibit a good agreement with available experimental values. Combining with the experimental electric quadrupole hyperfine-structure constant, we also extracted the electric quadrupole moments $Q$ of $^{209,211,221,223}$Ra. Our $Q$($^{221}$Ra) and $Q$($^{223}$Ra) are consistent with the referenced values from a semi-empirical analysis (Z. Phys. D: At., Mol. Clusters 11, 105 (1988)), but $Q(^{211}$Ra)=$0.33(2)$ is smaller than the referenced value $0.48(4)$ by about 30\%. Furthermore, we also performed a procedure for assessing the contributions of magnetic octupole moment to the hyperfine splitting. The sensitivity of hyperfine-structure interval measurements in $^{223}$Ra$^{+}$ that can reveal the effect caused by the nuclear octupole moment are found to be on the order of kHz.

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Fei-Chen Li, Yong-Bo Tang, Hao-Xue Qiao, Ting-Yun Shi. 2021-03-14. Relativistic coupled-cluster-theory analysis of the hyperfine interaction of Ra$^{+}$ isotopes. https://arxiv.org/abs/2103.07928

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