论文标题
充电粒子绑定的状态在周期盒中
Charged-particle bound states in periodic boxes
论文作者
论文摘要
我们考虑具有有限周期性体积的两体系统的结合能。我们将有限体积的库仑电位定义为通常的库仑电位，只是将距离定义为周期体积中两个物体之间最短的分离。我们在一个和三维的周期框中研究了这个问题，并在惠特克功能方面得出了具有零角动量的结合状态的体积依赖性的渐近行为。我们根据数值计算进行基准测试结果，并显示该方法如何用于提取带电粒子结合状态的渐近归一化系数。我们在这里得出的结果在有限的周期性体积中立即应用原子核的计算，对于领先的有限体积校正与两个带电簇相关的情况。
We consider the binding energy of a two-body system with a repulsive Coulomb interaction in a finite periodic volume. We define the finite-volume Coulomb potential as the usual Coulomb potential, except that the distance is defined as the shortest separation between the two bodies in the periodic volume. We investigate this problem in one and three-dimensional periodic boxes and derive the asymptotic behavior of the volume dependence for bound states with zero angular momentum in terms of Whittaker functions. We benchmark our results against numerical calculations and show how the method can be used to extract asymptotic normalization coefficients for charged-particle bound states. The results we derive here have immediate applications for calculations of atomic nuclei in finite periodic volumes for the case where the leading finite-volume correction is associated with two charged clusters.
