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Dynamical coupled-channel model of kaon-hyperon interactions

2004/04/30 by Wen-Tai Chiang, B. Saghaï, B. Saghai +4
Physics and Astronomy · #Amplitude #Baryon #Coupling (piping) #Excited state #High-Energy Particle Collisions Research #Hyperon #Lambda #Mathematical physics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark model #Resonance (particle physics) #nucl-th

paper · pdf · doi:10.1103/physrevc.69.065208

published as Phys.Rev. C69 (2004) 065208 · 35 pages, 11 Figures

arxiv created 2004/05/10 · openalex publication_date 2004/06/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The \ensuremathπN\ensuremath→KY and KY\ensuremath→KY reactions are studied using a dynamical coupled-channel model of meson-baryon interactions at energies where the baryon resonances are strongly excited. The channels included are: \ensuremathπN, K\ensuremathΛ, and K\ensuremathΣ. The resonances considered are: N*[S11(1650),P11(1710),P13(1720),D13(1700)]; \ensuremathΔ*[S31(1900),P31(1910),P33(1920)]; \ensuremathΛ*[S01(1670),P01(1810)] \ensuremathΣ*[P11(1660),D13(1670)]; and K*(892). The basic nonresonant \ensuremathπN\ensuremath→KY and KY\ensuremath→KY transition potentials are derived from effective Lagrangians using a unitary transformation method. The dynamical coupled-channel equations are simplified by parametrizing the \ensuremathπN\ensuremath→\ensuremathπN amplitudes in terms of empirical \ensuremathπN partial-wave amplitudes and a phenomenological off-shell function. Two models have been constructed. Model A is built by fixing all coupling constants and resonance parameters using SU(3) symmetry, the Particle Data Group values, and results from a constituent quark model. Model B is obtained by allowing most of the parameters to vary around the values of model A in fitting the data. Good fits to the available data for \ensuremathπ^\ensuremath-p\ensuremath→K0\ensuremathΛ,K0\ensuremathΣ0 have been achieved. The investigated kinematics region in the center-of-mass frame goes from threshold to 2.5\phantom\rule0.3em0exGeV. The constructed models can be imbedded into associated dynamical coupled-channel studies of kaon photo- and electroproduction reactions.

Citations