Abstract

The nuclear continuum shell model is reformulated in such a manner that target recoil is taken fully into account. The reformulation is achieved by employing dynamical R-matrix discretization based on intrinsic harmonic oscillator expansion functions. The desired intrinsic matrix elements are computed directly from corresponding shell-model matrix elements. The importance of the recoil corrections for light nuclei is illustrated by detailed calculations for nucleon scattering from closed shell nuclei. When recoil corrections are included, these calculations reproduce corresponding resonating group results. Since the inherent power and convenience of the shell-model ansatz is retained, it will be feasible to carry out more general calculations, including more elaborate target configurations and inelastic channels. A variety of forms for the nuclear interaction may be employed.

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