Approach for the three-body force effect in the optical limit approximation: application to hadron–deuteron elastic scattering at high energies

An approach for the three-body force effect in the optical limit approximation is suggested. The differential cross sections of p ?, and ?? ? d elastic scattering at 1.75 and 12.8 GeV/c for incident proton, 2 GeV/c for anti-proton and 9 GeV/c for pion are studied. The D-state and phase variation effects are considered. The experimental data is well described including the 2?-exchange three-body force. The three-body force effect, in this approach, plays a principal role over the complete range of momentum transfer square where the data is available.