About influence of the deuteron electric and magnetic plarizabities on measurement of the deuteron EDM in a storage ring

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In the present paper influence of tensor electric and magnetic polarizabilities on spin evolution in the resonance deuteron EDM experiment is considered in details. It is shown that besides EDM the electric and magnetic polarizabilities also contribute to the vertical spin component P₃. Moreover, the electric polarizability contributes to the P₃ component even when the deuteron EDM is supposed to be zero and thereby the electric polarizability can imitate the EDM contribution. It is shown that unlike the vertical component of the spin P₃ the component P₃₃ of polarization tensor does not contain contribution from the electric polarizability, whereas contribution from the magnetic polarizability reveals only when the deuteron EDM differs from zero. Moreover, it is also shown that when the angle ϑ between the spin direction and the vertical axis meets the condition ϑ=√2/3 (ϑ=√1/3), the initial value of P₃₃ appears P₃₃(0)=0. As a result, EDM contribution to the measured signal linearly growth in time starting from zero that is important for measurements. Therefore, measurement of the P₃₃ component of deuteron tensor polarization seems to be of particular interest, especially because the nonzero component P₃₃ appearance on its own indicates the EDM presence (in contrast to the P₃ component, which appearance can be aroused by the tensor electric polarizability, rather than EDM).