X(3872) as a hadronic molecule and its decays to charmonium states and pions

The X(3872) with quantum numbers JPC=1++ is considered as a composite hadronic state comprised of the dominant molecular D0D*0 component and other hadronic pairs-D±D*, J/ψω, and J/ψρ. Applying the compositeness condition we constrain the couplings of the X(3872) to its constituents. We calculate two- and three-body hadronic decays of the X(3872) to charmonium states χcJ and pions using a phenomenological Lagrangian approach. Next using the estimated XJ/ψω and XJ/ψρ couplings we calculate the widths of X(3872)→J/ψ+h transitions, where h=π+π-, π+π-π0, π0γ, and γ. The obtained results for the decay pattern of the X(3872) in a molecular interpretation could be useful for running and planned experiments.