Examination of the $ ϕ-NN $ bound-state problem with lattice QCD $ N-ϕ$ potentials
The developed Faddeev three-body equations are solved to search for bound-state solutions of a phi-meson $ \left(ϕ\right) $ and two nucleons $ \left( \textrm{NN} \right) $ system. The newly published spin $ 3/2 $ $ \textrm{N-\ensuremathϕ} $ 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^π=(0)2^{-}$ $ ϕ\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.
nucl-th↗