论文标题
$^8 $ BE，$^{12} $ C和$^{16} $ o Systems的集体运动集体模型
Collective model for cluster motion in $^8$Be, $^{12}$C, and $^{16}$O systems
论文作者
论文摘要
微观$nα$ cluster模型应用于$^{8} $，$^{12} $ c和$^{16} $ o系统，以在基础状态和径向激发下调查群集运动。在$^{12} $ c和$^{16} $ o的微观计算中，使用发电机坐标方法与$α$ - $α$距离的坐标$ d $，获得了激动的状态，作为基于地面状态的大振幅模式。构建了一个集体模型来描述这些状态的群集运动，通过利用微观群集模型（例如标准内核和能量期望值）的输入。此外，通过引入坐标$ d $的假想部分来扩展群集模型，以结合对集体质量的动态影响。发现使用集体模型获得的集体波函数与发电机坐标方法的结果，均方根式半径和振幅函数是合理的一致。
A microscopic $nα$ cluster model was applied to $^{8}$Be, $^{12}$C, and $^{16}$O systems to investigate cluster motion in the ground state and radial excitation. In the microscopic calculation of $^{12}$C and $^{16}$O using the generator coordinate method with the coordinate $D$ of the $α$-$α$ distance, excited states were obtained as the large-amplitude mode built on the ground state. A collective model was constructed to describe the cluster motion of these states by utilizing inputs from the microscopic cluster model such as the norm kernel and energy expectation values. Furthermore, the cluster model was extended by introducing the imaginary part of the coordinate $D$ to incorporate the dynamical effects on the collective mass. The collective wave function obtained with the collective model was found to be in reasonable agreement with the results of the generator coordinate method for energies, root-mean-square radii, and amplitude functions.
