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.

arXiv comment30 pages, 13 figures

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