Possibility of generating the ³_c H nucleus in the quark-delocalization color-screening model

We probe the existence of the (3)(Lambda c) H where the N Lambda(c) potentials are derived from the quark-delocalization color-screening model (QDCSM). The N Lambda(c) system is studied and the N Lambda(c) scattering length as well so the effective ranges are obtained in the QDCSM. We construct effective Gaussian-type N Lambda(c) potentials which reproduce the N Lambda(c) scattering data given by the QDCSM. By solving the NN Lambda(c) three-body Schrodinger equation with the Gaussian expansion method, we calculate the energies of the (3) (Lambda c) H with isospin I = 0, J(P) = 1/2(+) and I = 0, J(P) = 3/2(+) under different color screening parameter mu. The J(P) = 1/2(+) and J(P) = 3/2(+) states are both bound when the color screening parameter mu is set to 1.0 fm(-2) or 1.2 fm(-2), where the J(P) = 1/2(+) state is bound by 0.08-0.85 MeV and the J(P) = 3/2(+) state is bound by 0.15-1.31 MeV with respect to the deuteron-Lambda(c) threshold.