Exploring the molecular scenario of X(4160)

In this work, we investigate the decays of meson X (4160) in the molecular frame. By using an effective lagrangian approach, we calculate the widths of X(4160)→ J/ψ φ X ( 4160 ) → J / ψ ϕ , D^*D̄^* D ∗ D ¯ ∗ , D^*D̄ D ∗ D ¯ and DD̄ D D ¯ through the triangle loop mechanism in the molecular scenario. Based on the compositeness condition, the coupling between X (4160) and the Dₛ^*D̄ₛ^* D s ∗ D ¯ s ∗ molecular state is determined. The other coupling constants used are determined phenomenologically. The calculation of the decay widths shows that the D^*D̄^* D ∗ D ¯ ∗ decay mode has a larger branching ratio. These predictions can be seen as a test for the charmonium assignment of X (4160).