Determination of the strangeness content of light-flavour isoscalars from their production rates in hadronic Z decays at LEP

TL;DR

This paper introduces a phenomenological method to determine the strangeness content of light-flavour isoscalars using hadron production rates from Z decays at LEP, providing new mixing angle estimates.

Contribution

It presents a novel phenomenological approach linking hadron production laws to strangeness content and mixing angles, with results consistent with experimental data.

Findings

Determined mixing angles for various isoscalars with uncertainties.

Results align with existing experimental evidence for most isoscalar mixings.

Strangeness content of f_0(980) challenges recent model predictions.

Abstract

A new phenomenological approach is suggested for determining the strangeness content of light-flavour isoscalars. This approach is based on phenomenological laws of hadron production related to the spin, isospin, strangeness content and mass of the particles. From the total production rates per hadronic Z decay of all light-flavour hadrons, measured so far at LEP, the values of the nonstrange-strange mixing angles are found to be |\phi_P| = 42.3^{\circ} \pm 3.5^{\circ}, |\phi_V| = 10^{\circ} \pm 8^{\circ}, |\phi_T| = 16^{\circ} \pm 11^{\circ} and |\phi_S| = 13^{\circ} \pm 9^{\circ}. Our results on the \eta-\eta^{\prime}, \omega-\phi and f_2-f_2^{\prime} isoscalar mixing are consistent with the present experimental evidence. The strangeness content obtained for the f_0(980) scalar/isoscalar is not consistent with the values supported by recent model studies and is discussed further in the framework of our approach and the K-matrix analysis.