Radiative decay of the $X(3872)$ as a mixed molecule-charmonium state in effective field theory

Abstract

Assuming that $X(3872)$ is a mixture between $2P$ charmonium and $\bar{D}{D}^{\ast }$ molecular states with $J^{PC}=1^{++}$, an analysis of $X(3872)$ radiative decays into $J/\psi \gamma$ and $\psi (2S)\gamma$ is presented. The modification of the radiative branching ratio due to possible constructive or destructive interferences between the meson-loop and the short-distance contact term, which is modeled by a charm quark loop, is shown. The model predictions are shown to be compatible with the experimentally determined ratio of the mentioned branching fractions for a wide range of the $X(3872)$ charmonium content. In the case of the destructive interference, a strong restriction on the charmonium admixture is found.

arXiv comment10 pages, 2 figures

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Cited by in corpus (5)

• Pentaquark and Tetraquark states
• Charmonium states in a coupled-channel model
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Study of $e^{+}{e}^{-}\to \omega X(3872)$ and $\gamma X(3872)$ from 4.66 to 4.95 GeV
• The effects of charmonium on the properties of the $1^{++}$ hidden charm poles in effective field theory