Dynamical coupled-channel model of kaon-hyperon interactions

Abstract

The pi N --> KY and KY --> 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: pi N, K Λ, and KΣ. The resonances considered are: N^* [S_{11}(1650), P_{11}(1710), P_{13}(1720),D_{13}(1700)]; Δ^* [S_{31}(1900), P_{31}(1910), P_{33}(1920)]; Λ^* [S_{01}(1670), P_{01}(1810)] Σ^* [P_{11}(1660), D_{13}(1670)]; and K^*(892). The basic non-resonant πN --> KY and KY --> KY transition potentials are derived from effective Lagrangians using a unitary transformation method. The dynamical coupled-channel equations are simplified by parametrizing the pi N -->pi N amplitudes in terms of empirical pi N 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 pi^- p to K^0 Λ, K^0 Σ^0 have been achieved. The investigated kinematics region in the center-of-mass frame goes from threshold to 2.5 GeV. The constructed models can be imbedded into associated dynamical coupled-channel studies of kaon photo- and electro-production reactions.

35 pages, 11 Figures

References in corpus (26)

• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• SU(3) Chiral Dynamics with Coupled Channels: Eta and Kaon Photoproduction
• Chiral Unitary approach to meson-meson and meson-baryon interactions and nuclear applications
• Meson-exchange Model for $\pi N$ scattering and $\gamma N->\pi N$ reaction
• Measurement of gamma p --> K+ Lambda and gamma p --> K+ Sigma0 at photon energies up to 2.6 GeV
• Strange Decays of Nonstrange Baryons
• Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings
• Hyperon Photoproduction in the Nucleon Resonance Region
• Vector meson production and nucleon resonance analysis in a coupled-channel approach for energies m_N < sqrt(s) < 2 GeV I: pion-induced results and hadronic parameters
• A unitary model for meson-nucleon scattering
• Vector meson production and nucleon resonance analysis in a coupled-channel approach for energies m_N < sqrt(s) < 2 GeV II: photon-induced results
• Beam polarization asymmetries for the p(gamma,K+)Lambda and p(gamma,K+)Sigma0 reactions at Egamma=1.5-2.4 GeV
• Determination of the pion-nucleon coupling constant and scattering lengths
• Off-shell effects in the electromagnetic production of strangeness
• Quark Model Study of The eta Photoproduction: Evidence for a New S11 Resonance?
• First Measurement of Transferred Polarization in the Exclusive e p --> e' K+ Lambda Reaction
• Chiral SU(3) Dynamics with Coupled Channels: Inclusion of P-Wave Multipoles
• Coupled-channel study of gamma p --> K+ Lambda
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• Chiral Dynamics of the low-energy Kaon-Baryon interactions
• An Isobaric Model for Kaon photoproduction
• Goldberger-Treiman constraint criteria for hyperon coupling constants
• Nodal trajectories of spin observables and kaon photoproduction dynamics
• Pseudovector versus pseudoscalar coupling in kaon photoproduction - revisited
• Pion-Lambda-Sigma Coupling Extracted from Hyperonic Atoms
• From known to undiscovered resonances

Cited by in corpus (26)

• Differential Cross Sections for gamma + p --> K+ + Y for Lambda and Sigma0 Hyperons
• First Measurement of Beam-Recoil Observables Cx and Cz in Hyperon Photoproduction
• Comment on "Mass and K Lambda coupling of N*(1535)"
• Mass and $K\Lambda$ coupling of $N^{\ast }(1535)$
• A coupled-channel analysis of $K\Lambda$ production in the nucleon resonance region
• Dynamical coupled-channel approach to hadronic and electromagnetic production of kaon-hyperon on the proton
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• Dynamical coupled-channels study of pi N --> pi pi N reactions
• Coupled-channels study of the ${\pi }^{-}p\to \eta n$ process
• Photoproduction of eta meson within a coupled-channels K-matrix approach
• Beam-Recoil Polarization Transfer in the Nucleon Resonance Region in the Exclusive $\vec{e}p\to e^{\prime }{K}^{+}\vec{\Lambda }$ and $\vec{e}p\to e^{\prime }{K}^{+}{\vec{\Sigma }}^0$ Reactions at CLAS
• Polarized Structure Function ${\sigma }_{L{T}^{\prime }}$ for $p(\vec{e},e^{\prime }{K}^{+})\Lambda$ in the Nucleon Resonance Region
• Study of $\eta$ photoproduction on the proton in a chiral constituent quark approach via one-gluon-exchange model
• The associated photoproduction of K+ meson off proton within a coupled-channels K-matrix approach
• The piN --> etaN data demand the existence of N(1710) P11 resonance reducing the 1700 MeV continuum ambiguity
• Strong decay of low-lying $S_{11}$ and $D_{13}$ nucleon resonances to pseudoscalar mesons and octet baryons
• Combined study of gamma p to eta p and pi-p to eta n in a chiral constituent quark approach
• ${\gamma }^{\ast }N\to N(1710)$ transition at high momentum transfer
• Coupling strength of the $N^{\ast }(1535)S_{11}$ to the $K^{+}\Lambda$ channel
• $\eta$ production off the proton in a Regge-plus-chiral quark approach
• Dynamical coupled-channel study of K+ Lambda photoproduction
• Search for missing baryon resonances via associated strangeness photoproduction
• Combined analysis of the ${\pi }^{-}p\to K^0\Lambda$, $\eta n$ reactions in a chiral quark model
• Photon induced K$\Lambda$ production on the proton in the low energy region
• Irreducible tensor approach to spin observables in photo production of mesons with arbitrary spin-parity $s^{\pi }$
• A Simple Quark Model for γp -> K^+ Λ^0