AI破解核质量预测难题,揭示其内部结构如DNA双螺旋。
The DNA of nuclear models: How AI predicts nuclear masses
- 用可解释的AI模型预测核结合能,内部表示具双螺旋结构。
- 精度超越传统物理模型,关键提升源于1969年核态结构观察。
- 结果可分层解析,核心项对应液滴模型等经典理论,适合核物理研究者。
高精度预测核质量(即核结合能 $E_b$)仍是核物理研究的重要目标。近年来,多种基于人工智能的方法在该任务上表现优异,部分模型精度已超越最优物理模型。然而,由于这些预测主要依赖对未测量数据的外推,而AI模型通常为黑箱,其外推可靠性难以评估。本文提出一种兼具前沿精度与可解释性的AI模型:其内部表示的关键维度呈现双螺旋结构,其中类似DNA氢键的关联连接各同位素链中最稳定核的质子数与中子数。进一步发现,模型对 $E_b$ 的预测可分层因子化,最重要项对应经典符号模型(如著名的液滴模型)。惊人的是,相较于符号模型的改进几乎完全源于Jaffe 1969年基于已知核基态结构的观测。最终构建出一个基于数据驱动、由AI推导出的完整可解释核质量模型。
原文摘要 · Abstract (English)
Obtaining high-precision predictions of nuclear masses, or equivalently nuclear binding energies, $E_b$, remains an important goal in nuclear-physics research. Recently, many AI-based tools have shown promising results on this task, some achieving precision that surpasses the best physics models. However, the utility of these AI models remains in question given that predictions are only useful where measurements do not exist, which inherently requires extrapolation away from the training (and testing) samples. Since AI models are largely black boxes, the reliability of such an extrapolation is difficult to assess. We present an AI model that not only achieves cutting-edge precision for $E_b$, but does so in an interpretable manner. For example, we find that (and explain why) the most important dimensions of its internal representation form a double helix, where the analog of the hydrogen bonds in DNA here link the number of protons and neutrons found in the most stable nucleus of each isotopic chain. Furthermore, we show that the AI prediction of $E_b$ can be factorized and ordered hierarchically, with the most important terms corresponding to well-known symbolic models (such as the famous liquid drop). Remarkably, the improvement of the AI model over symbolic ones can almost entirely be attributed to an observation made by Jaffe in 1969 based on the structure of most known nuclear ground states. The end result is a fully interpretable data-driven model of nuclear masses based on physics deduced by AI.
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