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

Abstract

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