Determining Compositeness of Hadronic Resonances: the $\Lambda (1405)$ Radiative Decay and the $a_{0} (980)$-$f_{0} (980)$ Mixing

TL;DR

This paper uses the concept of compositeness to analyze whether certain hadronic resonances, like Lambda(1405) and the scalar mesons a0(980) and f0(980), are hadronic molecules based on their decay properties and mixing behaviors.

Contribution

It introduces a compositeness-based method to determine the molecular structure of specific hadronic resonances, focusing on Lambda(1405) and the scalar mesons a0(980) and f0(980).

Findings

Lambda(1405) has a significant $ar{K} N$ molecular component.

The $a_{0} (980)$ and $f_{0} (980)$ resonances are consistent with $K ar{K}$ molecular structures.

The analysis provides a framework to distinguish molecular states from other configurations.

Abstract

Recently the concept of compositeness has been developed so as to distinguish whether interested hadrons are hadronic molecules or not. Here, in terms of compositeness, we investigate $\bar{K} N$ molecular structure of the $\Lambda (1405)$ resonance with the $\Lambda (1405)$ radiative decay and $K \bar{K}$ molecular structure of the $a_{0} (980)$ and $f_{0} (980)$ resonances with the $a_{0} (980)$-$f_{0} (980)$ mixing.