标题： 多斯莱特行列式的变分在对称化分子动力学中的应用及对各种团簇结构的$^{10}$Be 的研究 显示英文标题

标题： Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to $^{10}$Be with various clustering

摘要： 我们提出一种方法，以线性组合形式优化反对称分子动力学（AMD）的多斯莱特行列式，并将其应用于富中子的$^{10}$Be 核。 总波函数的能量变分原理同时确定了各个斯莱特行列式及其在叠加中的权重。 $^{10}$Be 的多AMD基态显示出各种团簇结构以及壳模型类型。 在团簇构型中，不同的簇间距离自动叠加，表明生成坐标的作用。 我们进一步引入一种程序，以获得激发态的构型，并对基态构型施加正交条件。 在$^{10}$Be 的激发态中，确认了由各种团簇组成的线性链状结构。 使用获得的基态能够再现实验结果。 目前的框架可以作为寻找核基态和激发态最优多构型的方法。 显示英文摘要

摘要： We propose a method to optimize the multi-Slater determinants of the antisymmetrized molecular dynamics (AMD) in the linear combination form and apply it to the neutron-rich $^{10}$Be nucleus. The individual Slater determinants and their weights in the superposition are determined simultaneously according to the variational principle of the energy of the total wave function. The multi-AMD basis states of $^{10}$Be show various cluster structures as well as the shell-model type. In the cluster configurations, different intercluster distances are superposed automatically indicating the role of the generator coordinates. We further introduce a procedure to obtain the configurations for the excited states imposing the orthogonal condition to the ground-state configurations. In the excited states of $^{10}$Be, the linear-chain-like structure is confirmed consisting of various clusters. The energy spectrum using the obtained basis states reproduces the experiments. The present framework can be the method to find the optimal multi-configuration for nuclear ground and excited states.