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The phenomena of deuteron birefringence in a matter and an electric field should be accurately considered when preparing experiments for the EDM search with a storage ring, because they could imitate the spin rotation due to the EDM. Moreover, study of these effects in such experiments could provide to measure both the spin-dependent part of the amplitude of the coherent elastic scattering of a deuteron by a nucleus at the zero angle and the tensor electric polarizability of a deuteron.

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