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A partial wave analysis of K+nucleon scattering in the momentum range from 0 to 1.5 GeV/c addresing the uncertainties of the results and comparing them with several previous analyses. It is found that the treatment of the reaction threshold behaviour is particularly important. It is found a T=0 scattering length which is not consistent with zero, as has been claimed by other analyses. The T=0 phase shifts for l>0 are consistent with a pure spinorbit potential. Some indications for the production of a T=0 pentaquark with spinparity D5/2+ are discussed. Differential cross sections for the reactions 12C, 6Li and 40Ca are calculated using the presents results from the phase shifts and also the work from Hyslop et al. and Martin's phase shifts. The ratio for the three elements to deuterium are showed.
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