Hidden charmed decays of spin-2 partner of X (3872) within D^*D^* molecular framework

Abstract The Belle Collaboration recently reported a potential candidate for the spin-2 D^*D^* D ∗ D ¯ ∗ partner of the X (3872), denoted as X₂ X 2, with a mass of (4014. 3 4. 0 1. 5) (4014. 3 ± 4. 0 ± 1. 5) MeV and a width of (4 11 6) (4 ± 11 ± 6) MeV. Assuming the X₂ X 2 as a D^*D^* D ∗ D ¯ ∗ molecular state, we calculate its hidden charm decay X₂ ^+ ^- ₂ X 2 → π + π - η c via box loop diagram using an effective Lagrangian approach. To investigate the dependence of the decay width on the molecular structure, we consider four different phase angles: =0 θ = 0, /6 π / 6, /4 π / 4, and /2 π / 2. The decay width is found to be sensitive to the mass of the X₂ X 2. The decay partial widths are predicted to be on the order of 1 keV. We expect that the present calculations, perfo