Description of resonances in light nuclei using a microscopic cluster model

Abstract

We investigate resonances in light halo nuclei using a fully microscopic cluster model and the complex scaling method. We make use of the hermitian representation of the complex scaling method. The general structure of the cluster model is that of a correlation operator acting on a starting function that describes a number of neutrons relative to an alpha-particle. The correlation operator is expanded in terms of a small non-orthogonal set of Gaussian basis states and we make use of a simplified, central but state-dependent, interaction. The many-body integrals required for the computation are evaluated by a variational Monte-Carlo algorithm. We show how to obtain resonant states for both $^5$He and $^6$He.