Particle-Nucleus Scattering Theory with Realistic Two-Body Interactions

Abstract

A theory of particle-nucleus scattering is proposed. In this theory the A TMS method is connected with the Kerman-McManus-Thaler theory, and the projectile and the target nucleus are explicitly treated as a correlated (N + I)-body system. The effective potential between the incident particle and the target nucleus is represented by means of incident particle-target nucleon correlation functions. This gives an advantage that one can take into account many­ body correlations. The feasibility of the numerical calculation by the theory is demonstrated in AYH elastic scattering. This example also shows the importance of the many-body corre­ lations for the effective potential. 2 ),3) have been done for the description of nucleon-nucleus scattering with realistic two-body interactions via the optical model. They are more or less based on the multiple scattering theory (MS) of Watson,4) and the optical potential is constructed from the two-body scattering matrices. In those theo­ ries, however, only the one-body aspect of the target nucleus is taken into account practically and the (N + 1 )-body problem of the nucleon-nucleus scattering is essentially reduced to the two-body problem of the incident and target nucleon scattering. Recent developments in the theory of the optical-model potential by Jeukenne et al.,S) and Brieva and Rook 6 ) are also concentrated on how to treat the incident and target nucleon scattering under the independent particle approxima­ tion accurately. Thus those approaches to the microscopic theory of the optical­ model potential may be regarded as extensions of the single particle model in the bound state problem to nucleon-nucleus scattering. Within the single particle model, we cannot investigate the nuclear structure as the many-body system in a genuine sense. In order to study such a structure directly, we must describe particle-nucleus scattering from the viewpoint that the target nucleus is really consisting of correlated N nucleons. The independent particle approximation may be justified at high energies, where the incident nucleon is essentially scattered by one nucleon in the target nucleus, but at low energies it interacts with many nucleons in the target nucleus. There is no method which is useful for taking into account the many-body correlations between the incidenf particle and the target nucleus in the optical-