发表机构
Facility for Rare Isotope Beams, Michigan State University; Department of Physics and Astronomy, Michigan State University; School of Physics Science and Engineering, Tongji University; Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences（稀有同位素束设施，密歇根州立大学; 物理与天文学系，密歇根州立大学; 同济大学物理科学与工程学院; 南方核科学理论中心（SCNT），中国科学院近代物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对强形变核耦合道散射，提出Bloch-DBMM求解器和CCB-ROM仿真器，大幅降低计算成本，实现快速贝叶斯校准，加速超两个数量级。
AI 中文摘要
对于锕系等强形变核的核子散射，需要进行耦合道（CC）计算，其中基态转动带的多个成员被显式耦合，这使得形变全局光学势的贝叶斯不确定性量化成本高昂。我们通过广义Bloch算子施加出射波边界条件，重新表述了直接边界匹配方法（DBMM）；由此得到的Bloch-DBMM求解器收敛速度与现代R矩阵方法相当，并扩展到带电粒子在形变电荷分布靶核上的散射。在此基础上，我们构建了一个约化基仿真器CCB-ROM，其基向量同时跨越$J^\pi$块的所有通道，并将耦合道经验插值方法推广到任意非仿射形变相互作用。对于$n,p+{}^{232}$Th非弹性散射，基态带通过$8^+$态耦合，在4和35 MeV能量下，Bloch-DBMM求解器与Frescox进行了基准比较，仿真器将2700维系统替换为维数$N_b\le200$的系统，成本为$\mathcal{O}(N_b^3)$，与通道数无关，对所有五个带成员重现了精确求解器计算结果，加速超过两个数量级。因此，CCB-ROM通过一次计算即可提供微分截面、透射系数和反应截面，其成本与中子和质子的形变光学势贝叶斯校准兼容，并自然扩展到闭合通道和复合核反应程序。
英文摘要
Nucleon scattering off strongly deformed nuclei such as the actinides requires coupled-channels (CC) calculations in which several members of the ground-state rotational band are coupled explicitly, which makes Bayesian uncertainty quantification of deformed global optical potentials costly. We reformulate the direct boundary matching method (DBMM) by imposing its outgoing-wave boundary condition through a generalized Bloch operator; the resulting Bloch-DBMM solver converges as fast as the modern R-matrix method and extends to charged projectiles on targets with deformed charge distributions. On top of it we build a reduced-basis emulator, CCB-ROM, whose basis vectors span all channels of a $J^π$ block simultaneously, and generalize the coupled-channels empirical interpolation method to arbitrary non-affine deformed interactions. For $n,p+{}^{232}$Th inelastic scattering with the ground-state band coupled through the $8^+$ state, at 4 and 35 MeV, the Bloch-DBMM solver is benchmarked against Frescox, and the emulator replaces a 2700-dimensional system by one of dimension $N_b\le200$, with a cost of $\mathcal{O}(N_b^3)$ independent of the number of channels, reproducing the exact solver calculations for all five band members with speed-ups of over two orders of magnitude. CCB-ROM thus delivers differential cross sections, transmission coefficients and reaction cross sections from one calculation, at a cost compatible with Bayesian calibration of deformed optical potentials for neutrons and protons alike, and extends naturally to closed channels and to compound-nucleus reaction codes.
