New Nuclear Magnetic Moment of Bi209 : Resolving the Bismuth Hyperfine Puzzle
2018
A recent measurement of the hyperfine splitting in the ground state of Li-like $^{209}$Bi$^{80+}$ has established a "hyperfine puzzle" -- the experimental result exhibits a 7$\sigma$ deviation from the theoretical prediction [J. Ullmann et al.,
Nat. Commun. 8, 15484 (2017); J. P. Karr,
Nat. Phys. 13, 533 (2017)]. We provide evidence that the discrepancy is caused by an inaccurate value of the
tabulated
nuclear magnetic moment($\mu_I$) of $^{209}$Bi. We perform relativistic density functional theory and relativistic
coupled clustercalculations of the shielding constant that should be used to extract the value of $\mu_I(^{209}{\rm Bi})$ and combine it with nuclear magnetic resonance measurements of Bi(NO$_3$)$_3$ in nitric acid solutions and of the hexafluoridobismuthate(V) BiF$_6^-$ ion in acetonitrile. The result clearly reveals that $\mu_I(^{209}{\rm Bi})$ is much smaller than the
tabulatedvalue used previously. Applying the new
magnetic momentshifts the theoretical prediction into agreement with experiment and resolves the hyperfine puzzle.
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