The problem of a complete experiment in backward elastic scattering of
particles with spins of 1 and 1/2 is considered. For the first time a
ll possible effects induced by polarization of one or two initial and
one final particles are touched upon. The minimal set of measurements
allowing to reconstruct all of four amplitudes describing this process
is proposed. Some observables are expected to be sensitive to hithert
o largely unexplored deuteron properties, such as a possible P-wave co
mponent. The technique developed is a good tool to calculate easily im
pulse-approximation predictions for any observables. Accelerator facil
ities suitable for fulfilling the complete experiment are listed.