The strong coupling $g_{XJ/\psi \varphi }$ of $X(4700)\to J/\psi \varphi$ in the light-cone sum rules

Abstract

We assign the scalar tetraquark and the D-wave tetraquark state for $X(4700)$ and calculate the width of the decay $X(4700)$ $\to J/\psi \varphi$ within the framework of light-cone sum rules. The strong coupling $g_{XJ/\psi \varphi }$ is obtained by considering the technique of soft-meson approximation. We also investigate the mass and the decay constant of $X(4700)$ in the framework of SVZ sum rules. Our prediction for the mass is in agreement with the experimental measurement, and that for the decay width of $X(4700)$ $\to J/\psi \varphi$ support the possibility that $X(4700)$ could be a scalar tetraquark state if $X(4700)$ $\to J/\psi \varphi$ is the predominant decay channel, or a D-wave tetraquark state if $X(4700)$ $\to J/\psi \varphi$ is not the predominant one and there exist other decays.