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 $\left( \textrm{NN} \right)$ system. The newly published spin $3/2$ $\textrm{N-\ensuremath{\phi}}$ potential based on the $\left(\textrm{2+1}\right)$-flavor lattice QCD simulations near physical point, and realistic $\textrm{NN}$ Malfliet-Tjon (MT) potential, are employed. Our numerical calculations for $(I)J^{\pi}=(0)2^{-}$ $\phi\textrm{-d}$ 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.