Microscopic cluster study of the 10Be and 11Be nuclei

TL;DR

This paper employs a microscopic multicluster model with the Generator Coordinate Method and Stochastic Variational Method to analyze the structure, energy spectra, and electromagnetic properties of $^{10}$Be and $^{11}$Be nuclei.

Contribution

It introduces a combined GCM and SVM approach to effectively handle complex multicluster nuclear models with many generator coordinates.

Findings

Accurate low-lying energy spectra for both nuclei

Computed rms radii and electromagnetic transition probabilities

Structural analysis via energy curves with fixed generator coordinates

Abstract

We use a microscopic multicluster model to investigate the structure of $^{10}$Be and of $^{11}$Be. These nuclei are described by $\alpha+\alpha+n+n$ and $\alpha+\alpha+n+n+n$ 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 $^{10}$Be and 9 for $^{11}$Be), 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 $^{10}$Be and of $^{11}$Be by considering energy curves, where one of the generator coordinates is fixed during the minimization procedure.