$N_C$ evolution of the light meson resonances

TL;DR

This paper investigates how the properties of light-flavor meson resonances change with the number of QCD colors, providing insights into their internal structure using various theoretical methods.

Contribution

It offers a comprehensive analysis of the $N_C$ evolution of light meson resonances, comparing multiple approaches to understand their quark or non-quark nature.

Findings

Resonance poles exhibit specific trajectories with changing $N_C$

Different models yield consistent $N_C$ evolution patterns

Insights into the quark composition of light mesons

Abstract

The variation of the resonance poles, i.e., the mass and width, originating from changing the values of $N_C$, the number of the QCD colors, provide an intuitive theoretical method to discriminate the interior constituents of hadrons. Many different approaches, including unitarized chiral amplitudes, dispersive methods, quark models, linear-sigma-model-like framework, etc., have been widely used to determine the $N_C$ trajectories of the various resonance pole positions. We focus on the discussions of the light-flavor meson resonances in this work.