发表机构
Kyushu University; RIKEN Nishina Center（九州大学; 理化学研究所西村中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究通过解析推导纠缠熵与KL散度，揭示了氘核中自旋-轨道纠缠与空间各向异性均源于张量力诱导的S-D耦合，且两者正相关。
AI 中文摘要
背景：核张量力耦合自旋与轨道自由度，从而产生自旋-轨道（SO）纠缠。这种相互作用还引起密度分布的空间各向异性。尽管张量力是这两种现象的基础，但两者之间的直接联系仍不清楚。目的：我们阐明氘核的SO纠缠与空间各向异性之间的定量关系。该系统对这两个特征提供了完全解析的描述。方法：我们通过纠缠熵量化SO纠缠，并通过Kullback-Leibler（KL）散度量化空间各向异性。通过连续改变氘核中的$S$-$D$耦合来追踪它们的演化。结果：我们推导出纠缠熵和KL散度的解析表达式，两者都依赖于$M$，即氘核总角动量$J=1$的投影。张量力诱导的$S$-$D$耦合越强，纠缠熵和KL散度都越大。结论：解析结果以及两个量之间的正相关性清楚地表明，这两个特征源于由氘核波函数的代数结构所支配的相同底层耦合机制。
英文摘要
Background: The nuclear tensor force couples the spin and orbital degrees of freedom, thereby generating spin-orbital (SO) entanglement. This interaction also induces spatial anisotropy of density distributions. While the tensor force underlies both phenomena, the direct connection between them remains unclear. Purpose: We clarify the quantitative relationship between the SO entanglement and spatial anisotropy of the deuteron. This system provides a fully analytical description of both features. Methods: We quantify the SO entanglement by the entanglement entropy and spatial anisotropy by the Kullback-Leibler (KL) divergence. Their evolution is traced by continuously varying the $S$-$D$ coupling in the deuteron. Results: We derive analytical expressions for the entanglement entropy and KL divergence, both of which depend on $M$, the projection of the deuteron total angular momentum $J=1$. The stronger the tensor-force-induced $S$-$D$ coupling is, the larger both the entanglement entropy and KL divergence become. Conclusions: The analytical results and the positive correlation between the two quantities clearly demonstrate that the two features stem from the same underlying coupling mechanism governed by the algebraic structure of the deuteron wave function.
Comments9 pages, 5 figures; submitted to Physical Review C
