Practical Approach to the Continuum Shell Model

Abstract

A second quantized version of the Lane-Robson reaction formalism is applied to the continuum shell-model problem. The dynamical equations have a matrix structure which differs from that encountered in the conventional shell model only through the addition of a relatively small number of states and the presence of complex, energy-dependent boundary-condition parameters. Oscillator basis states may be used throughout. All matrix elements may be evaluated by existing shell-model codes. The equations provide a practical basis for dynamical studies of resonance phenomena in single-nucleon scattering channels. An extension of the model to include cluster channels is suggested.