Vector meson-vector meson interaction in a hidden gauge unitary approach

TL;DR

This paper extends a vector meson interaction formalism to the entire nonet, generating multiple states including some identified with known resonances, and predicts additional states for future experimental verification.

Contribution

It develops a unified approach to vector meson interactions, dynamically generating multiple states and matching some with known resonances while predicting new ones.

Findings

11 states generated, 5 match known PDG resonances

Masses used to fine-tune model parameters

Branching ratios consistent with experimental data

Abstract

The formalism developed recently to study vector meson--vector meson interaction, and applied to the case of $\rho\rho$, is extended to study the interaction of the nonet of vector mesons among themselves. The interaction leads to poles of the scattering matrix corresponding to bound states or resonances. We show that 11 states (either bound or resonant) get dynamically generated in nine strangeness-isospin-spin channels. Five of them can be identified with those reported in the PDG, i.e., the $f_0(1370)$, $f_0(1710)$, $f_2(1270)$, $f'_2(1525)$, and $K^*_2(1430)$. The masses of the latter three tensor states have been used to fine-tune the free parameters of the unitary approach, i.e., the subtraction constants in evaluating the vector meson -vector meson loop functions in the dimensional regularization scheme. The branching ratios of these five dynamically generated states are found to be consistent with data. The existence of the other six states should be taken as predictions to be tested by future experiments.