What do the radiative decays of X(3872) tell us

Understand

Since the discovery of X(3872), its structure has been in ceaseless dispute.

• The data of $X(3872)\rightarrow \pi^+\pi^-\pi^0 J/\psi$ suggest that X(3872) may be a high-spin charmonium-like of $2^{-+}$.
• In terms of the light front quark model (LFQM) we calculate the rates of the radiative decays $X(3872)\rightarrow J/\psi(\psi')\gamma$ supposing X(3872) to be a $2^{-+}$ charmonium.
• Within this framework, our theoretical prediction on $\mathcal{BR}(X(3872)\rightarrow\psi(1S)\gamma)$ is at order of $10^{-3}$ which is slightly lower than the Babar's data but close to the Belle's.