The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances

Abstract

We have studied the interaction of vectors 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 cut offs 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.

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References in corpus (7)

• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Identification of a Scalar Glueball
• Clues for the existence of two $K_1(1270)$ resonances
• A Study in Depth of f0(1370)
• Mass Uncertainties of f0(600) and f0(1370) and their Effects on Determination of the Quark and Glueball Admixtures of the I=0 Scalar Mesons
• Meson loops in the $f_0(980)$ and $a_0(980)$ radiative decays into $\rho$, $\omega$
• Chiral Unitary Dynamics of Hadrons and Hadrons in a Nuclear Medium

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