SOLVABLE FEW BODY MODELS AS LABORATORIES FOR NUCLEAR REACTION THEORIES

Publisher Summary This chapter describes the solvable few-body models as laboratories for nuclear reaction theories. It is found that the study of simple solvable models of a nuclear reaction process is a very useful technique for obtaining insight into the process and for testing the validity of the necessarily approximate theories which can be applied to real reaction processes. All of the models are of the separable potential type, applied in progressively more complex situations, namely, single channel scattering, many channel scattering, and three-body many channel scattering. The three-body problem with separable potentials has long been used as a test piece for theories of rearrangement collisions. One of the interesting questions in the theory of reactions is the reliability with which the theory can extract spectroscopic factors. This cannot be tested in the usual calculations, because the spectroscopic factors are always unity. The chapter highlights the construction of the three-body equations for energy dependent potentials. A possible future application of the model is the comparison of results obtained using exact multichannel n-target and p-target potentials and those obtained using the optical potentials in the formalism.