Estimate for theX(3872)→γJ/ψdecay width

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Abstract

The $X(3872)$ resonance is considered as a hadronic molecule, a loosely bound state of charmed ${D}^{0}$ and ${D}^{*0}$ mesons, since its mass is very close to the ${D}^{*0}{\overline{D}}^{0}$ threshold. Assuming structure and quantum numbers of $X(3872)$ as $({D}^{0}{\overline{D}}^{*0}\ensuremath{-}{D}^{*0}{\overline{D}}^{0})/\sqrt{2}$ and ${J}^{PC}={1}^{++}$, we calculate the $X(3872)\ensuremath{\rightarrow}\ensuremath{\gamma}J/\ensuremath{\psi}$ decay width using a phenomenological Lagrangian approach. We also estimate the contribution of an additional $c\overline{c}$ component in the $X(3872)$ to this decay width, which is shown to be suppressed relative to the one of the molecular configuration.

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