On nature of the scalar-isoscalar mesons in the uniformizing-variable method based on analyticity and unitarity

TL;DR

This paper analyzes scalar-isoscalar mesons, especially the $f_0$, using a method based on analyticity and unitarity to understand their nature through joint analysis of multiple scattering processes.

Contribution

It introduces a uniformization-variable method based on analyticity and unitarity to study the $f_0$ mesons from experimental scattering data.

Findings

Identified the nature of the $f_0$ mesons.

Provided spectroscopic implications for scalar mesons.

Enhanced understanding of meson structure through analytic methods.

Abstract

The experimental data on the processes $\pi\pi\to\pi\pi,K\bar{K},\eta\eta,\eta\eta^\prime$ in the $I^GJ^{PC}=0^+0^{++}$ channel have been jointly analyzed to study the status and nature of the $f_0$. The method of analysis is based on analyticity and unitarity and uses an uniformization procedure. Some spectroscopic implications from results of the analysis are discussed.