Abstract
This chapter explains three-body K operators and unitary approximations. Three-body systems have been widely used in studies of nuclear reactions, both as model problems from which insight might be gained concerning nuclear reaction mechanisms and as a tool for analyzing specific nuclear reaction data. The need for such studies is evident, because scattering theory can only be applied in approximate form to nuclear reactions, and neither the meaning nor the validity of the approximations so used are generally well understood. This chapter discusses a simple means for introducing unitary-type approximations for the three-body problem. It presents a comparison of the results calculated using a form of this approximation with exact numerical solutions for (d,p) and (d,d) reactions in a 3-body model and discusses the way by which the method can be generalized to introduce similar approximations for use in analyzing actual nuclear reaction data. The unitary approximation method discussed in the chapter was developed for the 3-body problem by Kouri, Levin, and Sandhas.
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