Examination of the $\phi -NN$ bound-state problem with lattice QCD $N-\phi$ potentials

The developed Faddeev three-body equations are solved to search for bound-state solutions of a phi-meson $\left(\phi \right)$ and two nucleons $\left(\text{NN}\right)$ system. The newly published spin $3\mathrm{/}2$ $\text{N-}\text{ensuremath}\text{φ}$ potential based on the $\left(\text{2+1}\right)$-flavor lattice QCD simulations near physical point, and realistic $\text{NN}$ Malfliet-Tjon (MT) potential, are employed. Our numerical calculations for $(I)J^{\pi }=(0)2^{-}$ $\phi \text{-d}$ system in maximum spin leads to ground state binding energy of about $7$ MeV and a matter radius of about $8$ fm. Our results indicates the possibility of the formation of new nuclear clusters.