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Manifestations of nuclear anapole moments in solid state NMR

T. N. Mukhamedjanov·O. P. Sushkov·J. M. Cadogan
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Abstract

We suggest to use insulating garnets doped by rare earth ions for measurements of nuclear anapole moments. A parity violating shift of the NMR frequency arises due to the combined effect of the lattice crystal field and the anapole moment of the rare-earth nucleus. We show that there are two different observable effects related to frequency: 1) A shift of the NMR frequency in an external electric field applied to the solid. The value of the shift is about Δν_1 ~ 10^{-5} Hz with E = 10 kV/cm; 2) A splitting of the NMR line into two lines. The second effect is independent of the external electric field. The value of the splitting is about Δν_2 ~ 0.5 Hz and it depends on the orientation of the crystal with respect to magnetic field. Both estimates are presented for a magnetic field of about 10 tesla. We also discuss a radiofrequency electric field and a static macroscopic magnetization caused by the nuclear anapole moment.

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T. N. Mukhamedjanov, O. P. Sushkov, J. M. Cadogan. 2004-05-10. Manifestations of nuclear anapole moments in solid state NMR. https://doi.org/10.1103/physreva.71.012107

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