Effect of eigenstates on spectra in coupled-channel scattering with the chiral unitary model

TL;DR

This paper investigates how different pole structures in chiral unitary models affect the invariant mass spectra of the $ o  o $ decay, providing insights into the nature of excited $$ states.

Contribution

It constructs and compares multiple chiral unitary models to understand the impact of eigenstates on observable spectra in coupled-channel scattering.

Findings

Different pole structures lead to distinct invariant mass spectra.

Model interpolation reveals relationships between poles in various models.

Results help interpret experimental data on excited $$ states.

Abstract

In recent years, as experimental data on the excited $\Xi(1620)$ and $\Xi(1690)$ states have accumulated, theoretical analyses based on chiral dynamics have also been actively pursued. In this study, we construct theoretical models within the chiral unitary approach to reproduce recent experimental data, and perform a model interpolation to examine the relationship between the poles appearing in different models. We then calculate the invariant mass spectra of the $\pi^+\Xi^-$ system in the $\Xi_c \to \pi\pi\Xi$ decay, using the scattering amplitudes obtained from each model, to investigate how the distinct pole structures influence the observable spectrum.