核格点有效场论中的弹性氘-氘散射
Elastic deuteron-deuteron scattering in the ${}^5S_2$ channel within Nuclear Lattice Effective Field Theory
- Helmholtz Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn（波恩大学斯特雷尔与核物理亥姆霍兹研究所及贝特理论物理中心）
- Faculty of Engineering and Natural Sciences, Gaziantep Islam Science and Technology University（加济安泰普伊斯兰科技大学工程与自然科学学院）
- Institute for Advanced Simulation (IAS-4), Forschungszentrum Jülich（于利希研究中心先进模拟研究所（IAS-4））
- Peng Huanwu Collaborative Center for Research and Education, International Institute for Interdisciplinary and Frontiers, Beihang University（北京航空航天大学国际交叉前沿研究院彭桓武教研合作中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
利用核格点有效场论计算自旋五重态$^{5}S_2$道低能氘-氘散射，结合手征相互作用和绝热投影方法，通过两种稳定化程序得到一致的库仑修正相移，并给出有效力程参数。
AI中文摘要：
我们使用核格点有效场论计算了自旋五重态$^{5}S_2$道中的低能氘-氘散射。该计算结合了通过波函数匹配实现的下一阶手征相互作用与绝热投影方法。由于径向团簇基在大的欧几里得投影时间下会出现小范数矩阵本征值，我们研究了两种稳定化程序：Tikhonov正则化和投影到良好分辨的范数本征模。两种程序在其统计和数值不确定性范围内产生一致的库仑减除相移。库仑修正的有效力程分析给出${}^5a_{dd} = (12.96 \pm 0.26)\\,\mathrm{fm}$和${}^5r_{dd} = (3.62 \pm 0.79)\\,\mathrm{fm}$。相移更负，散射长度显著大于之前的计算，对应于$^{5}S_2$道中更强的有效排斥。这些结果为氘-氘散射提供了第一个核格点基准，并为未来与太初核合成相关的氘诱导反应的耦合道计算建立了基础。
英文摘要：
We calculate low-energy deuteron-deuteron scattering in the spin-quintet $^{5}S_2$ channel using nuclear lattice effective field theory. The calculation combines chiral interactions at next-to-next-to-next-to-leading order, implemented through wavefunction matching, with the adiabatic projection method. Because the radial cluster basis develops small norm-matrix eigenvalues at large Euclidean projection time, we investigate two stabilization procedures: Tikhonov regularization and projection onto well-resolved norm eigenmodes. The two procedures yield consistent Coulomb-subtracted phase shifts within their statistical and numerical uncertainties. A Coulomb-modified effective-range analysis gives ${}^5a_{dd} = (11.99 \pm 0.22)$ fm and ${}^5r_{dd} = (3.44 \pm 0.79)$ fm. The phase shifts are more negative, and the scattering length is substantially larger than in previous calculations, corresponding to a stronger effective repulsion in the $^{5}S_2$ channel. These results provide a first nuclear-lattice benchmark for deuteron-deuteron scattering and establish a starting point for future coupled-channel calculations of the deuteron-induced reactions relevant to big-bang nucleosynthesis.
