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

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 $^3_\Lambda$H, $^3_\Lambda$He, and $^4_\Lambda$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.