Abstract
A theory is developed to deal with three-body scattering problems in a model space without making use of separable two-body interaction potentials. To remove the homogeneous solutions of the Lippmann-Schwinger (LS) integral kernel, constraint conditions are imposed on the solution of the LS equation, which makes a set of LS equations. Study of the basic set of LS equations is done in relation to the Faddeev equations, Weinberg integral kernel, and Kazaks-Greider wave function. A new calculable single integral equation is obtained. A set of LS equations for distorted-wave treatment is also derived.
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