J. Bsaisou, C. Hanhart, S. Liebig, U. -G. Meißner, A. Nogga, A. Wirzba
The two-nucleon contributions to the electric dipole moment (EDM) of the deuteron, induced by the QCD $\theta$-term, are calculated in the framework of effective field theory up-to-and-including next-to-next-to-leading order. In particular we find for the difference of the deuteron EDM and the sum of proton and neutron EDM induced by the QCD $\theta$-term a value of $(-6 \pm 4)\bar\theta \times 10^{-4} e$ fm. The by far dominant uncertainty comes from the CP- and isospin-violating $\pi NN$ coupling constant. Matrix elements are evaluated with an accuracy of better than 10%.
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http://arxiv.org/abs/1209.6306
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