Possible Classification of the Chiral Scalar sigma-Nonet

TL;DR

This paper proposes a classification of scalar mesons within a nonet structure, analyzing their masses and widths to support their role in SU(3) chiral symmetry realization, based on recent phase shift re-analyses.

Contribution

It introduces a possible classification scheme for scalar mesons as a nonet, linking experimental data to theoretical symmetry models.

Findings

The sigma(600) and f0(980) are ideal mixing states of a scalar nonet.

The scalar nonet satisfies the Gell-Mann Okubo mass formula.

The scalar nonet supports the linear realization of SU(3) chiral symmetry.

Abstract

We recently observed the iso-singlet scalar sigma(600)-particle and the iso-doublet scalar kappa(900)-particle, through the re-analyses of pi pi- and K pi-scattering phase shifts, respectively. First, assuming the two iso-singlet states, the sigma(600) and the established f0(980), being the ideal mixing states n n and s s, respectively, of a single scalar nonet, it is pointed out that the mass value of the iso-singlet flavor-octet state, obtained from the orthogonal transformation, satisfies, together with the kappa(900) and the iso-triplet scalar a0(980)-particle, the Gell-Mann Okubo mass-formula. Furthermore, it is argued that, by investigating their properties of masses and widths, this scalar sigma-nonet, together with the pseudo-scalar pi-nonet, realizes the linear representation of SU(3) chiral symmetry.