Determination of vector meson properties by matching resonance saturation to a constituent quark model

Abstract

The properties of mesonic resonances can be calculated in terms of the low-energy coefficients of chiral perturbation theory ($\chi$PT) by extending unitarized $\chi$PT to higher energies. On the other hand, these low-energy coefficients can be calculated in two different models, namely i) by assuming resonance saturation and ii) within a constituent quark model. By matching the expressions of the two models combined with the results of unitarized $\chi$PT and the Weinberg sum rules, the properties of vector and axial-vector mesons can be calculated in the combined large-N c and chiral limit