rho rho interaction in the hidden gauge formalism and the f(0)(1370) and f(2)(1270) resonances

We have studied the interaction of vectors mesons within the hidden gauge formalism and applied it to the particular case of the ρρ interaction. We find a strong attraction in the isospin, spin channels I,S=0,0 and 0,2, which is enough to bind the ρρ 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 ρ mass distribution is considered, and particularly when the ππ decay channel is turned on. Using a regularization scheme with cut offs of natural size, we obtain results in fair agreement with the mass and the width of the f0(1370) and f2(1270) meson states, providing a natural explanation of why the tensor…