Spectral-Function Sum Rules andω−φMixing

Abstract

In this paper we perform a calculation of the $\omega -\phi$ mixing problem, using the spectral-function sum rules of Weinberg, which is more comprehensive than previous similar calculations. In conjunction with the first sum rule we assume asymptotic nonet symmetry. We use the second sum rule modified by corrections estimated using the Gell-Mann, Oakes, and Renner model of the SU (3) ⊗ SU(3)-breaking strong interactions. The predictions of the model are in good agreement with experiment where accurate experimental data are available. We indicate how it is possible to reconcile previous competing theories within the more comprehensive framework of our model.