Abstract
On the basis of qualitative microscopical arguments we present a single-particle potential of finite rank which provides a complete unperturbed basis for the shell-model approach to nuclear reactions. The bound-state wave functions are orthogonal to the continuum ones and are approximated by harmonic-oscillator wave functions. The scattering states depend on both the bound-state wave functions and the form factor of a potential term acting only in the continuum space. A convenient choice for the form factor allows us to derive analytic expressions for the phase shift. The model is successfully applied to the elastic scattering of neutrons from 16O below 5 MeV.
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