Composite and elementary natures of a1(1260) meson

TL;DR

This paper presents a method to analyze the mixed quark and hadronic composite nature of the a1(1260) meson, providing insights into its structure and limitations of large Nc classification.

Contribution

It introduces a practical approach to study the mixing structure of hadrons with quark and hadronic components, applied specifically to the a1(1260) meson.

Findings

The a1(1260) meson exhibits a mixed quark-hadron structure.

The method quantifies the mixing properties of the meson.

Limitations of large Nc approximation are discussed.

Abstract

We develop a practical method to analyze the mixing structure of hadrons consisting of two components of quark-composite and hadronic composite. As an example we investigate the properties of the axial vector meson a1(1260) and discuss its mixing properties quantitatively. We also make reference to the large Nc procedure and its limitation for the classification of such a mixed state.