X(3872)→DD¯γ decays and the structure of X(3872)

It has been suggested that the radiative X→DD¯γ decay modes are useful to shed light on the structure of the meson X(3872), since the ratio R=Γ(X→D+D−γ)Γ(X→D0D¯0γ) is expected to be small (R≪1) if X is a molecular D∗0D¯0 state. We compute R in a c¯cJPC=1++ description of X finding that it is tiny in a wide range of hadronic parameters governing the decay. A discrimination between the molecular and c¯c description can be obtained through the analysis of the photon spectrum.