论文标题
范德华五体尺寸能源普遍性
Van der Waals five-body size-energy universality
论文作者
论文摘要
在五体自结界量子系统中探索了缩放大小和缩放能量之间的普遍关系。地基结合能和结构特性是通过扩散的蒙特卡洛法获得的。我们使用纯估计器来消除群集大小的估计中的任何残留偏置。加强粒子间相互作用，我们将勘探从光环区域扩展到古典系统。通用尺寸尺寸尺寸尺寸的能量线不取决于短距离电势细节和结合强度，对于具有相互作用电势的均质五聚物的远距离衰减，主要是$ r^{ - 6} $。对于混合的五聚体，我们讨论了通用线可以大致描述大小能比率的条件。我们的数据与广义的TJON线兼容，当两者用三聚体能量分配时，五聚体的结合能与四聚体的结合能之间的线性依赖性。
A universal relationship between scaled size and scaled energy is explored in five-body self-bound quantum systems. The ground-state binding energy and structure properties are obtained by means of the diffusion Monte Carlo method. We use pure estimators to eliminate any residual bias in the estimation of the cluster size. Strengthening the inter-particle interaction, we extend the exploration from the halo region to classical systems. Universal scaled size-scaled energy line, which does not depend on the short-range potential details and binding strength, is found for homogeneous pentamers with interaction potentials decaying at long range predominantly as $r^{-6}$. For mixed pentamers, we discuss under which conditions the universal line can approximately describe the size-energy ratio. Our data is compatible with generalized Tjon lines, which assume a linear dependence between the binding energy of the pentamers and the one of tetramers, when both are divided by the trimer energies.
