States of \(\rho D^* \bar D^*\) with J = 3 within the fixed center approximation to the Faddeev equations
- 120 Downloads
We study the interaction of ρ, D * and \(\bar D^*\) with spins aligned using the fixed center approximation to the Faddeev equations. We select a cluster of \(D^* \bar D^*\), which is found to be bound in I = 0 and can be associated to the X(3915), and let the ρ meson orbit around the D * and \(\bar D^*\). In this case we find an I = 1 state with mass around 4340 MeV and narrow width of about 50 MeV. We also investigate the case with a cluster of ρD * and let the \(\bar D^*\) orbit around the system of the two states. The ρD * cluster is also found to bind and leads to the D 2 * state. The addition of the extra \(\bar D^*\) produces further binding and we find, with admitted uncertainties, a state of I = 0 around 4000 MeV, and a less bound narrow state with I = 1 around 4200 MeV.