We probe the existence of the Λc​3​H where the NΛc​
potentials are derived from the quark-delocalization color-screening model
(QDCSM). The NΛc​ system is studied and the NΛc​ scattering
length so as the effective range are obtained in the QDCSM. We construct
effective Gaussian-type NΛc​ potentials which reproduce the
NΛc​ scattering data given by the QDCSM. By solving the NNΛc​
three body Schr\"odinger equation with the Gaussian expansion method, we
calculate the energies of the Λc​3​H with isospin I=0, JP=1/2+
and I=0, JP=3/2+ under different color screening parameter μ. The
JP=1/2+ and JP=3/2+ states are both bound when the color screening
parameter μ is set to 1.0 or 1.2, where the JP=1/2+ state is bound by
0.08∼0.85 MeV and the JP=3/2+ state is bound by 0.15∼1.31 MeV
with respect to the deuteron-Λc​ threshold.Comment: 7 pages, 6 gigure