Application of shell-cluster comprehensive model to α resonant scattering

Abstract

We apply the comprehensive model of the shell model and the cluster model to the α + ¹⁶O resonant scattering. In this model, the coupling of the shell model configuration with ¹⁶O + four nucleons and the cluster model configuration with ¹⁶O + α is explicitly solved. The absorbing boundary condition is imposed on the α + ¹⁶O cluster configuration, and the excitation function of the elastic scattering is calculated from the method of the continuum level density. The shell + cluster calculation nicely reproduces the sharp resonant structures with a small energy interval appearing in the excitation function although the α cluster model reproduces only the broad and gross structure in the excitation function. The resonance width generated by the coupling with the shell model configuration is discussed in comparison to the experimental width.