A complete experiment for p-p scattering at medium energies

A set of p-p scattering measurements which allows the p-p scattering matrix to be determined directly from experiment at given energies and angles is proposed and discussed. Present day experimental techniques are taken into consideration. The scattering matrix is determined independently of phase shift analyses and can be used to check the reliability of their predictions. Estimates of the precision needed in this complete experiment and the corresponding uncertainties in the scattering amplitudes are given.