Hadronic Molecules and χ₂₉ (2P) Coupled States

We investigate hidden-charm exotic mesons based on a coupled-channel framework, where the physical states are described as superpositions of a compact c c core (identified with the χ₂₉ (2P) states) and hadronic components such as D^ (*) D^ (*). We incorporate meson exchange potentials to describe hadron-hadron interactions and determine model parameters to reproduce the observed masses of X (3872) and Z (3930). The model also predicts a 0^++ bound state consistent with the X (3860). The internal structure is found to be predominantly molecular for the X (3872), while the X (3860) and Z (3930) have larger cc components. The coupling between cc cores and hadronic components plays a crucial role in generating these states. The resulting wave functions provide insight into the internal structure and decay properties of these exotic states.