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

The X(3872) with quantum numbers J(PC) = 1(++) is considered as a composite hadronic state comprised of the dominant molecular (DD)-D-0*(0) component and other hadronic pairs-(DD)-D-+/-*(-/+) , J/psi omega, and J/psi rho. 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 chi(cJ) and pions using a phenomenological Lagrangian approach. Next using the estimated XJ/psi omega and XJ/psi rho couplings we calculate the widths of X(3872) -> J/psi + h transitions, where h = pi(+)pi(-), pi(+)pi(-) pi(0), pi(0)gamma, and gamma. The obtained results for the decay pattern of the X(3872) in a molecular interpretation could be useful for running and planned experiments.