Relativistic correction to the deuteron magnetic moment and angular condition

The relativistic correction (RC) to the deuteron magnetic moment is calculated using the light-cone dynamics. The restrictions imposed by the angular condition on the electromagnetic current operator of the deuteron are discussed in detail. It is shown that the additive model for the current operator of interacting constituents is consistent with the angular condition only for the two first terms of the expansion of the “good” current component $\text{j}{}_{\mathrm{+}}\text{=}\text{1}\text{2}\text{(j}{}_0\text{+ j}{}_{\mathrm{<mtext>z</mtext>}}\text{)}$ in powers of the momentum transfer q. The RC to μ_d is expressed through the matrix element of the “good” component j₊ and is found to be equal to $\text{(0.6–0.8) × 10}{}^{\mathrm{?2}}\text{e}\text{h}\text{?}\text{/2m}{}_{\mathrm{<mtext>p</mtext>}}\text{c}$ for realistic NN potentials. Taking account of RC decreases essentially the discrepancy between the theoretical and experimental values of μ_d. Possible solutions of the angular condition for squared q-terms of the j₊ current component are also discussed.