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

Abstract

The developed Faddeev three-body equations are solved to search for bound-state solutions of a phi-meson $\left(\varphi \right)$ and two nucleons $\left(\text{NN}\right)$ system. The newly published spin $3/2$ $\text{N-ensuremathphi}$ 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 $(I)J^{\pi }=(0)2^{-}$ $\varphi \text{-d}$ 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.

Comments: 12 pages, 2 figures,