Abstract
Generator-coordinate wave functions suitable for nuclear reactions are constructed from Peierls-Thouless wave functions for separate clusters of nucléons. Antisymmetrization of the total wave function is achieved by ensuring that the basic many-body wave function in the Peierls-Thouless linear combination is a Slater determinant. A prescription is given for the calculation of operator matrix elements such that only smooth functions, and not Dirac δ-functions, are explicitly calculated. For certain oscillator single-particle wave functions the present method is shown to give results identical to those of previous formulations of the generator-coordinate method. The generator-coordinate wave functions used here are wave functions of good cluster momenta: momenta conjugate to the actual cluster c.m. coordinates, not their average values. Consequently the interaction kernel in coordinate representation is identically the kernel of the resonating-group theory. Finally channel-channel coupling is formally included by considering the Griffin-Hill-Wheeler variational equations as coupled-channel equations.
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