Abstract
A precise generalization of the Kohn-Hulthen-Kato variational method for scattering matrix is made for the purpose of microscopic study of reactions between complex nuclei with many channels coupled. The frameworks is given by the resonating group method (RGM) both for two-cluster systems and for three-cluster systems. The scattering boundary condition is imposed on the trial functions of the dynamical coordinate space, while the requires matrix elements between the RGM trial basis functions for the internal region are described in terms of the generator coordinate (GC) kernels and the corresponding GC trial basis functions. Detailed numerical tests are exhibited with showing very good accuracy and sufficiently short computational time in the result of the present method, which is encouraging enough to apply the method to coupled channel studies of various-kind reactions based both on the microscopic models and on certain phenomenological models.
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