Investigate the strong coupling of gXJ/ψϕ in X(4500)→J/ψϕ by using the three-point sum rules and the light-cone sum rules

Abstract

We assign X(4500) as a D-wave tetraquark state and study the decay of X(4500) → J/ψϕ. The mass and the decay constant of X(4500) are calculated by using the SVZ sum rules. For the decay width of X(4500) → J/ψϕ, we present the calculation within the framework of both the three-point sum rules and the light-cone sum rules. The strong coupling gXJ/ψϕ is obtained by considering the soft-meson approximation when we use the light-cone sum rules calculation. Both calculations show that the decay of X(4500) → J/ψϕ close to the total width of X(4500) if we assign X(4500) as a D-wave tetraquark. We also consider the open-charm decay channels like X(4500)→DsDs, X(4500)→Ds⁎Ds, and X(4500)→Ds⁎Ds⁎, their widths are small when compared to the width of X(4500), suggesting that the hidden-charm decay channels X(4500) → J/ψϕ are predominant when compared with the total width of X(4500). A more rational conclusion can be obtained only if the complete open-charm decay channel is considered. In the future, experiments will be more helpful in determining whether or not this structure of X(4500) is appropriate.