Abstract: The spectra of decays of resonance X(3872) with good analytical and unitary properties are constructed, which allows to define the branching ratio of the X(3872)→D*0D0+c.c. decay by studying only one more decay, for example, the X(3872)→π+π-J/ψ(1S) decay, and it is shown that the spectra are an effective means of selection of models for the resonance X(3872). Then the scenario is discussed where the X(3872) resonance is the c=χc1(2P) charmonium which “sits on” the D*0D0 threshold. An explanation is given of the shift of the mass of the X(3872) resonance with respect to the prediction of a potential model for the mass of the χc1(2P) charmonium by the contribution of the virtual D*D+c.c. intermediate states into the self energy of the X(3872) resonance. This allows us to estimate the coupling constant of the X(3872) resonance with the D*0D0 channel, the branching ratio of the X(3872)→D*0D0+c.c. decay, and the branching ratio of the X(3872) decay into all non-D*0D0+c.c. states. A significant number of unknown decays of X(3872) via two gluons: X(3872)→gluon gluon→hadrons are predicted.

Key words: Charmonium, molecule, two-gluon decays