论文标题

部分可观测时空混沌系统的无模型预测

Electromagnetic moments of scandium isotopes and $N=28$ isotones in the distinctive $0f_{7/2}$ orbit

论文作者

Bai, S. W., Koszorús, Á., Hu, B. S., Yang, X. F., Billowes, J., Binnersley, C. L., Bissell, M. L., Blaum, K., Campbell, P., Cheal, B., Cocolios, T. E., de Groote, R. P., Devlin, C. S., Flanagan, K. T., Ruiz, R. F. Garcia, Heylen, H., Holt, J. D., Kanellakopoulos, A., Krämer, J., Lagaki, V., Maaß, B., Malbrunot-Ettenauer, S., Miyagi, T., Neugart, R., Neyens, G., Nörtershäuser, W., Rodríguez, L. V., Sommer, F., Vernon, A. R., Wang, S. J., Wang, X. B., Wilkins, S. G., Xu, Z. Y., Yuan, C. X.

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

The electric quadrupole moment of $^{49}$Sc was measured by collinear laser spectroscopy at CERN-ISOLDE to be $Q_{\rm s}=-0.159(8)$ $e$b, and a nearly tenfold improvement in precision was reached for the electromagnetic moments of $^{47,49}$Sc. The single-particle behavior and nucleon-nucleon correlations are investigated with the electromagnetic moments of $Z=21$ isotopes and $N=28$ isotones as valence neutrons and protons fill the distinctive $0f_{7/2}$ orbit, respectively, located between magic numbers, 20 and 28. The experimental data are interpreted with shell-model calculations using an effective interaction, and ab-initio valence-space in-medium similarity renormalization group calculations based on chiral interactions. These results highlight the sensitivity of nuclear electromagnetic moments to different types of nucleon-nucleon correlations, and establish an important benchmark for further developments of theoretical calculations.

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