Examination of the $\varphi \text{−}NN$ bound-state problem with lattice QCD $N\text{−}\varphi$ potentials

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