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

Abstract

The X(3872) with quantum numbers J(PC) = 1(++) is considered as a composite hadronic state comprised of the dominant molecular D(0) D*(0) component and other hadronic pairs - D(+-) D*(-+), Jpsi omega and Jpsi 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 X-Jpsi-omega and and X-Jpsi-rho couplings we calculate the widths of X(3872) to Jpsi + h, 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.

12 pages, 3 figures, accepted for publication in Phys. Rev. D