6533b824fe1ef96bd127febd

RESEARCH PRODUCT

ρρinteraction in the hidden gauge formalism and thef0(1370)andf2(1270)resonances

subject

description

We have studied the interaction of vector mesons within the hidden gauge formalism and applied it to the particular case of the $\ensuremath{\rho}\ensuremath{\rho}$ interaction. We find a strong attraction in the isospin, spin channels $I$, $S=0$, 0 and 0, 2, which is enough to bind the $\ensuremath{\rho}\ensuremath{\rho}$ 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 $\ensuremath{\rho}$ mass distribution is considered, and particularly when the $\ensuremath{\pi}\ensuremath{\pi}$ 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 $\ensuremath{\rho}\ensuremath{\rho}$ interaction or, in simpler words, $\ensuremath{\rho}\ensuremath{\rho}$ molecular states.