发表机构
Key Laboratory of Beam Technology of the Ministry of Education, and School of Physics and Astronomy, Beijing Normal University; Institute of Applied Physics and Computational Mathematics; Graduate School, China Academy of Engineering Physics; CAPT, HEDPS, and IFSA Collaborative Innovation Center of MoE, Peking University; Institute of Radiation Technology, Beijing Academy of Science and Technology（教育部束流技术重点实验室，北京师范大学物理与天文学院; 应用物理与计算数学研究所; 中国工程物理研究院研究生院; 北京大学、教育部前沿交叉学科研究中心、高能量密度物理中心和IFSA协同创新中心; 北京市科学技术研究院辐射技术研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对D-T、p-$^{11}$B等热核反应，采用有限温度托马斯-费米-狄拉克框架得到双中心等离子体屏蔽势，结合核势求解薛定谔方程，揭示离子与电子非线性极化的竞争对聚变率的影响，指出双中心处理对预测稠密等离子体聚变率的重要性。
AI 中文摘要
我们研究了双中心等离子体屏蔽效应对氘-氚（D-T）、质子-硼11（p-$^{11}$B）和碳12-碳12（$^{12}$C-$^{12}$C）热核反应的影响，涵盖从经典到简并的区域。双中心屏蔽势是在有限温度托马斯-费米-狄拉克框架内得到的，该框架将双离子关联作为领头阶多体效应。将所得的屏蔽库仑势与复伍兹-萨克森核势结合，我们求解定态薛定谔方程以获得聚变隧穿概率和对应的反应率。与德拜-休克尔结果相比，本文得到的屏蔽势在弱耦合和弱简并区域更强，而在强耦合和强简并区域更弱。因此，聚变增强因子在前述区域被放大，而在后述区域被抑制。我们识别出两种机制之间存在潜在的相互作用：离子的非线性极化倾向于减小屏蔽效应，而电子的非线性极化倾向于增强它。这种微妙的竞争由等离子体耦合强度和简并度决定。这些发现表明，双中心处理对于预测稠密等离子体中的聚变率非常重要。
英文摘要
Using a finite-temperature two-center Thomas-Fermi-Dirac model, we investigate nonlinear plasma screening effects on the fusion reactions D-T, $^{12}$C-$^{12}$C, and p-$^{11}$B. The effective interaction between a reacting ion pair is obtained self-consistently at the mean-field level. Combining this potential with a complex Woods-Saxon nuclear potential, we solve the stationary Schrödinger equation to evaluate tunneling probabilities and reaction rates. Compared with Debye-Hückel theory, the two-center screening potential can be stronger or weaker, and the resulting fusion enhancement correspondingly amplified or suppressed, depending on the plasma conditions and the internuclear separation. We identify the underlying mechanisms: relative to the single-center prediction, the nonlinear evacuation of background ions suppresses screening, whereas nonlinear electron accumulation enhances it. The two channels respond to different plasma state parameters: the ionic suppression deepens with increasing coupling strength, whereas the electronic enhancement peaks at intermediate degeneracy. The two-center correction therefore follows a factorized scaling law in the nuclear charges of the reacting pair and the plasma state parameters. These findings highlight the importance of a self-consistent two-center treatment for determining effective interactions and evaluating static screening corrections to fusion reaction rates.
