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

Abstract

We study the impact of SU(3) flavor symmetry breaking on the properties of dynamically generated ${\Lambda }^{\ast }$ 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.

30 pages, 13 figures

References in corpus (6)

• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Chiral extrapolation of baryon mass ratios
• Elementarity of composite systems
• Spatial interpretation of "compositeness" for finite-range potentials
• The $\bar{K}N$ interaction in higher partial waves