On the Nuclear Correlations in Deuteron Pick-up and Stripping Reactions

Abstract

Discussions given in this paper are about the effects of correlations on the deuteron pick-up and stripping reactions. The correlations may be expected to affect more strongly the deuteron pick-up or stripping reactions than (p, p 1) reactions. ~ I. Introduction The assumption that nucleons move with long mean free paths in the in­ dependent particle states of a uniform potential has played an important role in the success of the shell model as usually formulated and it is reflection of the absence of two-body interactions and correlations in the ground-state wave function. But the information obtained from the high-energy experiments is in contradiction with the shell model and requires a change in the interpretation of the low-energy nuclear phenomena and their relation to the ground-state wave function. 1 ) Thus it is natural to consider the nuclear ground-state wave function containing, in general, marked correlations as a result of two-body interactions. Consequently the departures of the correlated wave function from the uncorrelated independent particle wave function are closely related to the details of the inelastic scattering of nucleon by nucleon and thus to the strength and the range of two-body potentials. As is well known from both experiment and theory, nucleon-nucleon interactions are strong and short ranged. The action of the same forces on the nucleons immersed in a many-body medium will bring very appreciable correlations into the nuclear wave function. On the other hand, the success of the shell model seems to mean that two­ body forces in nuclear matter are so weak and long-ranged as to be able to lead in an excellent approximation to a uniform Hartree field acting on the nucleons. This might have some origin in a strongly nonlinear behavior of the meson fields by which the forces in nuclear matter are modified and smoo­ thed out. 2 ) If two-body forces remain strong, the effective potential felt by one nucleon, which is the basis of the configuration mixing studies of the shell model, will have the rapidly varying spatial dependence. Since the effective potential arising