Scalar Mesons: A Chiral Lagrangian Framework for their Mixing and Substructure

TL;DR

This paper uses a nonlinear chiral Lagrangian approach to analyze the mixing and substructure of scalar mesons below and above 1 GeV, exploring their quark and glueball components.

Contribution

It introduces two scalar meson nonets and a scalar glueball component within a chiral Lagrangian framework to study meson mixing and substructure.

Findings

Numerical estimates of two-quark, four-quark, and glue components of scalar mesons.

Insight into the quark substructure based on mass ordering differences.

Analysis of scalar meson mixing patterns below and above 1 GeV.

Abstract

The highlights of studies of mixing among scalar mesons below and above 1 GeV within a nonlinear chiral Lagrangian framework is briefly presented. Two scalar meson nonets are introduced to explore the mass spectrum and decay properties of the $I$=1/2 and $I$=1 scalar states. For the $I$=0 states, in addition to these two nonets a scalar glueball component is also taken into account, and together with the constraints from the $I$=1/2 and $I$=1 sectors, their mass spectrum is studied. The fact that an ideally mixed $q {\bar q}$ scalar nonet has a mass ordering which is opposite to that of an ideally mixed four-quark scalar nonet is exploited to gain some insight into the quark substructure of the $I$=1/2, $I$=1 and $I$=0 states below and above 1 GeV. Consequently, numerical estimates of various components of these states (two quark and four quark components of $I$=1/2 and $I$=1 states, and two quark, four quark and glue component of $I$=0 states) are determined.