A stochastic microscopic approach to the 10Be and 11Be nuclei

Abstract

We use a microscopic multicluster model to investigate the structure of 10Be and of 11Be. These nuclei are described by α + α + n + n and α + α + n + n + n configurations, respectively, within the Generator Coordinate Method (GCM). The 4- and 5-body models raise the problem of a large number of generator coordinates (6 for 10Be and 9 for 11Be), which requires specific treatment. We address this issue by using the Stochastic Variational Method (SVM), which is based on an optimal choice of the basis functions, generated randomly. The model provides good energy spectra for low-lying states of both nuclei. We also compute rms radii and densities, as well as electromagnetic transition probabilities. We analyze the structure of 10Be and of 11Be by considering energy curves, where one of the generator coordinates is fixed during the minimization procedure.