  In this paper, we study the dynamics behavior of the NLS system with three
waves interaction in the energy space $H^1(\mathbb{R}^5) \times
H^1(\mathbb{R}^5)\times H^1(\mathbb{R}^5) $. Inspired by B. Dodson and J.
Murphy in \cite{Dodson2018}, we establish an interaction Morawetz estimate for
the NLS system, together with the criterion which proved by Tao-Dodson--Murphy
we can get the scattering under the ground state in energy space with
mass-resonance. Under the radial assumption, we can remove the mass-resonance
condition.
