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On the nature of the and from their behavior in chiral dynamics

2008/04/08 by L. Roca, Tetsuo Hyodo, T. Hyodo +2 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2008.05.014

published as Nucl.Phys.A809:65-87,2008 · 29 pages, 8 figures

arxiv created 2008/04/08 · openalex publication_date 2008/06/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We study the behavior with the number of colors (Nc) of the Λ(1405) and Λ(1670) resonances obtained dynamically within the chiral unitary approach. The leading order meson-baryon interaction, used as the kernel of the unitarization procedure, manifests a nontrivial Nc dependence of the flavor SU(3) representation for baryons. As a consequence, the SU(3) singlet (or KN) component of the Λ(1405) states remains bound in the large Nc limit, while the other components dissolve into the continuum. Introducing explicit SU(3) breaking, we obtain the Nc dependence of the excitation energy, masses and widths of the physical Λ(1405) and Λ(1670) resonance. The Nc behavior of the decay width is found to be different from the general counting rule for a qqq state, indicating the dynamical origin of these resonances.

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