论文标题
核反应中的集体惯性质量
Collective inertial masses in nuclear reactions
论文作者
论文摘要
对于大幅度集体动力学的微观理论描述，我们计算了低能核反应的惯性质量系数。在能量密度函数的方案下，我们应用绝热的自洽集坐标（ASCC）方法以及Inglis的曲柄公式来计算转化和相对运动的惯性，除了旋转运动的动作外。以两个$α$颗粒之间的散射为例，我们研究了平均场电位的Time-ODD成分对集体惯性质量的影响。 ASCC方法渐近地重现了相对运动和翻译运动的确切质量。另一方面，当存在Time-ODD组件时，曲柄公式就无法做到。
Towards the microscopic theoretical description for large amplitude collective dynamics, we calculate the coefficients of inertial masses for low-energy nuclear reactions. Under the scheme of energy density functional, we apply the adiabatic self-consistent collective coordinate (ASCC) method, as well as the Inglis' cranking formula to calculate the inertias for the translational and the relative motions, in addition to those for the rotational motion. Taking the scattering between two $α$ particles as an example, we investigate the impact of the time-odd components of the mean-field potential on the collective inertial masses. The ASCC method asymptotically reproduces the exact masses for both the relative and translational motions. On the other hand, the cranking formula fails to do so when the time-odd components exist.
