N-cluster dynamics and effective interaction of composite particles. I. The dynamical equation

Importance of the three-body Pauli potential in three-cluster systems

“…In most of these calculations, people have used energy-independent (or weakly energy-dependent) two-body potentials and no three-body potential. There seemed to be a discrepancy with microscopic models, like the resonating group model [3], which yield energy-dependent potentials together with a strong three-body potential. We now learn that it is mainly a question of applying an appropriate off-shell transformation to connect the phenomenological models to the microscopic ones.…”

“…This model is identical to the resonating group model [2,3], as long as nothing is neglected. If one neglects a certain residual interaction, one arrives at the fish bone optical model which, while being much simpler than the resonating group model, retains some important effects of antisymmetrization.…”

A physical interpretation of the discrete ambiguities in the optical potential for composite particles

“…The value of/32 is less sharply defined than/31, but it is certainly large enough not to contradict the re- Summarizing we conclude that the discrete ambiguity in local optical models for composite particle scattering is caused by the existence of partly Pauli-forbidden states. It will be interesting to see whether a recently proposed model [-19] which is based on a more fundamental investigation of composite particle interaction [20] and takes explicitly into account the partly Pauli-forbidden states will lead to unique solutions.…”

Orthogonalization of function spaces in the resonating group model

“…The next step in the systematic study of general features of effective interactions will be the investigation of the influence of cluster-distortion and reaction channels. The formal elimination of such channels from a coupled channel equation leads to elimination potentials [8]. But here we are running into a difficulty.…”

“…If part of the test function space is formally eliminated, the condition PQ=0 of the projection formalism of Feshbach [9] is violated. By this violation the resonating group equations do not become wrong, but the elimination potentials become highly arbitrary [8]. If we want to include distortion effects, or absorption effects, in the effective interactions of composite particles we want to include them as corrections which are as small as possible.…”