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This paper presents the results of an experiment in which the polarization parameter P in ~+p elastic scattering has been measured in the energy range from 335 to 580 MeV. The experiment was performed on a pion channel of the LNPI synchrocyclotron using a polarized proton target and wire spark chambers with magnetostrictive read-out The results have substantially higher precision in comparison with the most of other experiments in this energy range and allow to determine unambiguously the shape of angular dependence P(O*) in the whole investigated region. New phase-shift analysis of ~+p scattering data has been performed. The results of this experiment were used also to check isospin invariance.

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