ρρ interaction in the hidden gauge formalism and the f0(1370) and f2(1270) resonances

We have studied the interaction of vector mesons within the hidden gauge formalism and applied it to the particular case of the rho rho interaction. We find a strong attraction in the isospin, spin channels I, S = 0, 0 and 0, 2, which is enough to bind the rho rho system. We also find that the attraction in the I, S = 0, 2 channel is much stronger than in the 0, 0 case. The states develop a width when the rho mass distribution is considered, and particularly when the pi pi decay channel is turned on. Using a regularization scheme with cutoffs of natural size, we obtain results in fair agreement with the mass and the width of the f(0)(1370) and f(2)(1270) meson states, providing a natural explanation of why the tensor state is more bound than the scalar and offering a new picture for these states, which would be dynamically generated from the rho rho interaction or, in simpler words, rho rho molecular states.