SU(3) flavor symmetry considerations for the $\bar{K}N$ coupled channels system

TL;DR

This paper investigates how SU(3) flavor symmetry breaking affects the properties of $ar{K}N$ coupled channel resonances, using an improved chiral effective model to understand the variability of resonance couplings.

Contribution

It introduces an extended separable potential model based on next-to-leading order chiral Lagrangian to analyze SU(3) symmetry effects on $ar{K}N$ resonances at higher energies.

Findings

Channel coupling ratios vary significantly with SU(3) breaking.

Couplings from observables are unreliable for flavor multiplet assignment.

Model extends applicability to the $ ext{Lambda}(1670)$ resonance region.

Abstract

We study the impact of SU(3) flavor symmetry breaking on the properties of dynamically generated $\Lambda^*$ states within an effective separable potential model describing the coupled channels $\bar{K}N$ system. The model is based on the chiral meson-baryon Lagrangian at next-to-leading order, and constitutes an improvement over a previous model developed by our group, with its applicability being extended to higher energies covering the $\Lambda(1670)$ resonance region. It is demonstrated that the ratios of channel couplings to the resonant states can vary dramatically when the flavor breaking is gradually switched off, tracing a path to the restored SU(3) symmetry. We conclude that the couplings determined from physical observables cannot be used to reliably relate a given resonance to a specific flavor multiplet.