Calculation of the polarization of the recoil proton in πN-scattering near the inelastic threshold
The polarization of the recoil proton in πN-scattering has been calculated as a function of the scattering angle at the energies 150, 170, 190 MeV. It is shown that this polarization depends sensitively on the πN-scattering phase-shiftP11. Slight changes of the other phase-shifts do not affect the polarization to the same extent. New measurements of the differential cross-section and of the polarization in the process π−+p→π−+p are suggested. They would allow for a new precise phase-shift analysis, which could possibly determine the sign of theP11-phase at the inelastic threshold. This sign is important in connection with the bound-state picture of the nucleon.