Low-energy $\eta-d$ resonance

Elastic eta-d scattering is considered within the Alt-Grassberger-Sandhas (AGS) formalism for various eta-N input data. A three-body resonant state is found close to the eta-d threshold. This resonance is sustained for different choices of the two-body eta-N scattering length a_{\eta N}. The position of the resonance moves towards the eta-d threshold when Re a_{\eta N} is increased, and turns into a quasi-bound state at Re a_{\eta N}=0.733 fm