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

中文翻译：

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| $ ^ {10} {\ rm Be} $ |的随机微观方法 和| $ ^ {11} {\ rm Be} $ | 核

我们使用微观多集群模型研究| $ ^ {10} {\ rm Be} $ |的结构。和| $ ^ {11} {\ rm Be} $ |⁠。这些核由| $ \ alpha + \ alpha + n + n $ |来描述。和| $ \ alpha + \ alpha + n + n + n $ | 生成器坐标法（GCM）中分别配置。4体模型和5体模型提出了许多生成器坐标的问题（| $ ^ {10} {\ rm Be} $ |为9，| $ ^ {11} {\ rm Be} $ |为9）。 ⁠），需要进行特殊处理。我们使用随机变分方法（SVM）解决此问题，该方法基于随机生成的基函数的最佳选择。该模型为两个原子核的低态提供了良好的能谱。我们还计算均方根半径和密度，以及电磁跃迁概率。我们分析| $ ^ {10} {\ rm Be} $ |的结构。和| $ ^ {11} {\ rm Be} $ | 通过考虑能量曲线，在最小化过程中，其中一个发电机坐标是固定的。