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arXiv · 1006.0467

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

M. Nielsen·C. M. Zanetti
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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, $5^0\leqθ\leq13^0$, we get the branching ratio $Γ(X\to J/ψγ)/Γ(X\to J/ψπ^+π^-)=0.19\pm0.13$, which is in agreement, with the experimental value. This result is compatible with the analysis of the mass and decay width of the mode $J/ψ(nπ)$ performed in the same approach.

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M. Nielsen, C. M. Zanetti. 2010-10-07. Radiative decay of the X(3872) as a mixed molecule-charmonium state in QCD Sum Rules. https://doi.org/10.1103/physrevd.82.116002

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