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We develop a dynamical coupled-channels model of K^- p reactions, aiming atextracting the parameters associated with hyperon resonances and providing theelementary antikaon-nucleon scattering amplitudes that can be used forinvestigating various phenomena in the strangeness sector such as theproduction of hypernuclei from kaon-nucleus reactions. The model consists of(a) meson-baryon (MB) potentials v_{M'B',MB} derived from the phenomenologicalSU(3) Lagrangian, and (b) vertex interactions Gamma_{MB,Y*} for describing thedecays of the bare excited hyperon states (Y*) into MB states. The model isdefined in a channel space spanned by the two-body barK N, pi Sigma, pi Lambda,eta Lambda, and K Xi states and also the three-body pi pi Lambda and pi barK Nstates that have the resonant pi Sigma* and barK* N components, respectively.The resulting coupled-channels scattering equations satisfy the multichannelunitarity conditions and account for the dynamical effects arising from theoff-shell rescattering processes. The model parameters are determined byfitting the available data of the unpolarized and polarized observables of theK^- p --> barK N, pi Sigma, pi Lambda, eta Lambda, K Xi reactions in the energyregion from the threshold to invariant mass W=2.1 GeV. Two models with equallygood chi^2 fits to the data have been constructed. The partial-wave amplitudesobtained from the constructed models are compared with the results from arecent partial-wave analysis by the Kent State University group. We discuss thedifferences between these three analysis results. Our results at energies nearthe threshold suggest that the higher partial waves should be treated on thesame footing as the S wave if one wants to understand the nature ofLambda(1405)1/2^- using the data below the barK N threshold, as will beprovided by the J-PARC E31 experiment.

Dynamical coupled-channels model of $K^- p$ reactions (I): Determination of partial-wave amplitudes