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: (a) shift of the NMR frequency in an external electric field applied to the solid; the value of the shift is about Δν1 ∼ 10−5 Hz with E = 10 kV/cm, and (b) 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 Δν2 ∼ 0.5 Hz; it depends on the orientation of the crystal with respect to magnetic field. Both estimates are presented for the magnetic field of about 10 T.
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