Manifestations of nuclear anapole moments in solid state NMR
T. N. Mukhamedjanov, O. P. Sushkov, J. M. Cadogan
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 Δν1 ~ 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 Δν2 ~ 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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