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arXiv · 2204.03924

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

Yiling Xie·Dazhuang He·Xuan Luo·Hao Sun
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Abstract

We assign the scalar tetraquark and the D-wave tetraquark state for $X(4700)$ and calculate the width of the decay $X(4700)$ $\to J/ψϕ$ within the framework of light-cone sum rules. The strong coupling $g_{X J/ψϕ}$ 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 $X(4700)$ $\to J/ψϕ$ support the possibility that $X(4700)$ could be a scalar tetraquark state if $X(4700)$ $\to J/ψϕ$ is the predominant decay channel, or a D-wave tetraquark state if $X(4700)$ $\to J/ψϕ$ is not the predominant one and there exist other decays.

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Yiling Xie, Dazhuang He, Xuan Luo, Hao Sun. 2022-09-29. The strong coupling $g_{X J/ψϕ}$ of $X(4700) \to J/ψϕ$ in the light-cone sum rules. https://doi.org/10.1016/j.nuclphysb.2023.116113

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