Nonexistence of a $\eta NN$ quasibound state

We have solved the Faddeev equations for $\eta d$ elastic scattering using realistic separable interactions for the $NN$ and coupled $\eta N$-$\pi N$ subsystems. We found that including explicitly the pion channel in the integral equations drastically reduces the attraction that is present in the system. As a consequence, the existence of a $\eta NN$ quasibound state is excluded by the modern $\eta N$ amplitude analysis.