Narrow Results

In order to understand the structure of the X(3872), we have studied the effects of the core state coupling to the multi-hadronic states such as , p J/ψ, etc. We have calculated the transition strength S(E) using the Green's function approach with the simple solvable interactions. We have also studied the S(E) in the case of no core state, namely the molecule. Since the calculated shapes of the transition strengths are different from each other, we shall be able to determine the degree of the mixing of the state in the X(3872) from the shape of the energy spectrum.

In order to understand the structure of the X(3872), we have studied the effects of the charmonium core state coupling to the and D⁺ D^-* molecule states. We determine the coupling strength so as to reproduce the observed mass of the the X(3872). The isospin symmetry breaking is introduced by the mass differences of the neutral and charged D mesons. The obtained structure of the X(3872) is about 15% of charmoniumu, 72% of the isoscalar molecule and 13% of the isovector molecule which explains observed properties of the X(3872) well.