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

Abstract

We study composite systems of light ($\ddot{I}$ and $\ddot{I}‰$) and heavy ($D^{\ast }$) vector mesons by using the interaction within the hidden gauge formalism. We find a strong attraction in the isospin, spin channels $(I,S)=(1/2,0)$; $(1/2,1)$; $(1/2,2)$ with positive parity. The attraction is large enough to strongly bind these mesons in states with these quantum numbers, leading to states which can be identified with $D_2^{\ast }(2460)$ and probably with $D^{\ast }(2640)$, the last one without experimental spin and parity assignment. In the case of $I=3/2$ one obtains repulsion and thus, no exotic mesons in this sector are generated in the approach.