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arXiv · 2401.05989

The role of electromagnetic interaction in the $X(3872)$ and its analogs

Ping Chen·Zhan-Wei Liu·Zi-Le Zhang·Si-Qiang Luo·Fu-Lai Wang·Jun-Zhang Wang·Xiang Liu
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Abstract

We investigate the role of the electromagnetic interaction in the formation and decay of the $X(3872)$. The binding properties of the $X(3872)$ are studied by assuming the molecular nature and considering the $S$-$D$ wave mixing, isospin breaking, and coupled channel effects, and in particular the correction from the electromagnetic interaction. The radiative decays can better reflect the difference between the charged and neutral $D\bar D^*$ components, since the electromagnetic interaction explicitly breaks the isospin symmetry. We further study the radiative decay widths with the obtained wave functions for different $D\bar D^*$ channels. We also explore other similar hidden-charm molecular states. The electromagnetic interaction can make the molecule tighter. Our result of the radiative decay width for $X(3872)\rightarrow \gamma J/\psi$ is in agreement with the experiment. The branching ratio $R_{\gamma\psi}$ is less than 1 in our framework, which supports the Belle and BESIII measurements.

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Ping Chen, Zhan-Wei Liu, Zi-Le Zhang, Si-Qiang Luo, Fu-Lai Wang, Jun-Zhang Wang, Xiang Liu. 2024-01-11. The role of electromagnetic interaction in the $X(3872)$ and its analogs. https://doi.org/10.1103/physrevd.109.094002

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