论文标题
动态发电机坐标方法的应用到四极激励
Applications of the dynamical generator coordinate method to quadrupole excitations
论文作者
论文摘要
我们将具有共轭动量的动力发电机坐标方法（DGCM）应用于核集体激发。为此，我们首先讨论了如何为一般的单体操作员构建DGCM的数字可行方案。然后，我们将DGCM应用于$^{16} $ o的四极振动，使用Gogny D1S交互。我们表明，与传统的GCM相比，基态能量和激发能都降低了，具有相同数量的基础函数。我们还计算了四极杆和单极算子的总规则值，并表明DGCM比传统的GCM更一致的结果比传统的GCM到双换向器的值。这些结果表明，共轭动量是集体运动中重要且相关的自由度。
We apply the dynamical generator coordinate method (DGCM) with a conjugate momentum to a nuclear collective excitation. To this end, we first discuss how to construct a numerically workable scheme of the DGCM for a general one-body operator. We then apply the DGCM to the quadrupole vibration of $^{16}$O using the Gogny D1S interaction. We show that both the ground state energy and the excitation energies are lowered as compared to the conventional GCM with the same number of basis functions. We also compute the sum rule values for the quadrupole and monopole operators, and show that the DGCM yields more consistent results than the conventional GCM to the values from the double commutator. These results imply that the conjugate momentum is an important and relevant degree of freedom in collective motions.
