Resonances f0(1370) and f0(1710) as scalar \bar q-q states from an Nf=3 Sigma Model with Vectors and Axial-Vectors

TL;DR

This paper uses an extended linear sigma model with vector and axial-vector mesons to analyze the nature of scalar mesons f0(1370) and f0(1710), suggesting they are primarily quark-antiquark states with specific mixing.

Contribution

It introduces a model with mixing of non-strange and strange scalar states and assigns these to experimental resonances, providing mass and decay width calculations.

Findings

f0(1370) is consistent with a non-strange quark-antiquark state

f0(1710) is consistent with a strange quark-antiquark state

The model reproduces experimental decay widths and masses

Abstract

Features of the non-strange \bar n-n and strange \bar s-s scalar mesons are investigated in the Extended Linear Sigma Model (eLSM) with Nf=3 and vector and axial-vector mesons. Our model contains a pure non-strange and a pure strange scalar state; implementing the mixing of the two states originates two new states, a predominantly non-strange and a predominantly strange one. We investigate the possibility to assign the two mixed states to experimentally well-established resonances. To this end, we calculate the masses and the two-pion decay widths of the mixed states and compare them with experimental data. The predominantly non-strange state is found to be consistent with the resonance f0(1370) and the predominantly strange state with the resonance f0(1710).