Electric dipole moment of the deuteron in the standard model with $NN-\Lambda N-\Sigma N$ coupling

Abstract

We calculate the electric dipole moment (EDM) of the deuteron in the standard model with $|\Delta S|=1$ interactions by taking into account the $NN-\Lambda N-\Sigma N$ channel coupling, which is an important nuclear level systematics. The two-body problem is solved with the Gaussian Expansion Method using the realistic Argonne $v18$ nuclear force and the $YN$ potential which can reproduce the binding energies of ${}_{\Lambda }^3$H, ${}_{\Lambda }^3$He, and ${}_{\Lambda }^4$He. The $|\Delta S|=1$ interbaryon potential is modeled by the one-meson exchange process. It is found that the deuteron EDM is modified by less than 10\%, and the main contribution to this deviation is due to the polarization of the hyperon-nucleon channels. The effect of the $YN$ interaction is small, and treating $\Lambda N$ and $\Sigma N$ channels as free is a good approximation for the EDM of the deuteron.

12 pages, 4 figures

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