Scattering of D and D* mesons off the X(3872)

Both the mass (just below the (DD0)-D-*0 threshold) and the likely quantum numbers (J(PC)=1(++)) of the X(3872) suggest that it is either a weakly bound hadronic molecule (X(3872)similar to 1/2[(DD0)-D-*0+(DD0)-D-*0]) or a virtual state of charmed mesons. Assuming the X(3872) is a weakly bound molecule, the scattering of neutral D and D-* mesons off the X(3872) can be predicted from the X(3872) binding energy. We calculate the phase shifts and cross section for scattering of D-0 and D-*0 mesons and their antiparticles off the X(3872) in an effective field theory for short-range interactions. This provides another example of a three-body process, along with those in nuclear and atomic systems, that displays universal properties. It may be possible to extract the scattering within the final state interactions of B-c decays and/or other LHC events.