Radiative decay of the X(3872) as a mixed molecule-charmonium state in QCD Sum Rules

Abstract

We use QCD sum rules to calculate the width of the radiative decay of the meson X(3872), assumed to be a mixture between charmonium and exotic molecular $[c\bar{q}][q\bar{c}]$ states with $J^{PC}=1^{++}$. We find that in a small range for the values of the mixing angle, $5^0\le \theta \le 13^0$, we get the branching ratio $\Gamma (X\to J/\psi \gamma )/\Gamma (X\to J/\psi {\pi }^{+}{\pi }^{-})=0.19\pm 0.13$, which is in agreement, with the experimental value. This result is compatible with the analysis of the mass and decay width of the mode $J/\psi (n\pi )$ performed in the same approach.

7 pages, 9 figures; revised version accepted for publication in Phys. Rev. D

References in corpus (9)

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• On the nature of the X(3872) from QCD
• QCD Sum Rules for the production of the X(3872) as a mixed molecule-charmonium state in B meson decay
• Unquenched quark-model calculation of X(3872) electromagnetic decays
• Angular momentum coefficients for meson strong decay and unquenched quark models
• Study of $e^{+}{e}^{-}\to \omega X(3872)$ and $\gamma X(3872)$ from 4.66 to 4.95 GeV