Mass is a fundamental property and an important fingerprint of atomic nucleus. It provides an extremely useful test ground for nuclear models and is crucial to understand energy generation in stars as well as the heavy elements synthesized in stellar explosions. Nuclear physicists have been attempting at developing a precise, reliable, and predictive nuclear model that is suitable for the whole nuclear chart, while this still remains a great challenge even in recent days. Here we employ the Fourier spectral analysis to examine the deviations of nuclear mass predictions to the experimental data and to present a novel way for accurate nuclear mass predictions. In this analysis, we map the mass deviations from the space of nucleon number to its conjugate space of frequency, and are able to pin down the main contributions to the model deficiencies. By using the radial basis function approach we can further isolate and quantify the sources. Taking a pedagogical mass model as an example, we examine explicitly the correlation between nuclear effective interactions and the distributions of mass deviations in the frequency domain. The method presented in this work, therefore, opens up a new way for improving the nuclear mass predictions towards a hundred kilo-electron-volt accuracy, which is argued to be the chaos-related limit for the nuclear mass predictions.

质量是原子核的基本性质和重要指纹。它为核模型提供了一个极其有用的试验场，对于了解恒星中的能量产生以及恒星爆炸中合成的重元素至关重要。核物理学家一直在尝试开发一种适用于整个核图的精确、可靠和预测性的核模型，即使在最近几天这仍然是一个巨大的挑战。在这里，我们采用傅立叶光谱分析来检查核质量预测与实验数据的偏差，并提出一种准确的核质量预测的新方法。在此分析中，我们将质量偏差从核子数空间映射到其共轭频率空间，并能够确定对模型缺陷的主要贡献。通过使用径向基函数方法，我们可以进一步隔离和量化来源。以教学质量模型为例，我们明确检查了核有效相互作用与频域质量偏差分布之间的相关性。因此，这项工作中提出的方法开辟了一条将核质量预测提高到一百千电子伏特精度的新途径，这被认为是核质量预测的混沌相关极限。