Resonating group Faddeev approach to deuteron-alpha scattering

The resonating group Faddeev method is formulated and applied to d-..cap alpha.. elastic and breakup scattering. The effective interaction of the three-cluster resonating group model for the neutron, proton, and ..cap alpha.. particle is approximated by the fish bone optical model potential and decomposed into two-body and three-body potentials. The three-body potential is neglected, after being reduced in strength by an off-shell transformation. The two-body potentials are fitted to subsystem on-shell data. Equivalence of subsystem wave functions with resonating group wave functions is checked. Results of the numerical calculation indicate that the three-body observables are sensitive to Pauli effects but are not sensitive to the (unknown) high energy behavior of two-body phase shifts.