Scalar, axial-vector and tensor resonances from the $\rho D^*$, $\omega D^*$ interaction in the hidden gauge formalism

Abstract

We apply a unitary approach together with a set of hidden-gauge Lagrangians to study the vector-vector interaction. We study the case of the $\rho$($\omega$)$D^*$ interaction within the model. In $I=1/2$ we get strong enough attraction to bind the system. Concretely, we get one resonance for each spin $J=0,1,2$. For J=1 and 2 these resonances can be easily identified with the $D^*(2460)$ and $D^*(2640)$. Whereas the state for J=0 with mass $M\sim2600$ MeV is a prediction of the model. In $I=3/2$ we get a repulsive interaction and hence no exotic dynamically generated states.