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核质量预测中核回归的Wigner与镜像关联

Wigner and mirror correlations in nuclear mass predictions with kernel ridge regression

X. H. Wu

arXiv 2609.36876首次发表:更新:

发表机构

Fuzhou University(福州大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究提出Wigner与镜像关联的核岭回归方法WKRRoe,通过核函数编码关联,使核质量预测精度达98.0 keV,优于100-keV基准,尤其提升N=Z附近及镜像核的预测能力。

AI 中文摘要

我们开发了Wigner-和镜像关联的核岭回归(WKRR)及其奇偶扩展WKRRoe,以改进核质量预测。Wigner和镜像关联完全编码在核函数中,无需引入更多权重参数。对于实验已知的核质量,WKRRoe实现了98.0 keV的留一法均方根偏差,低于常被引用的与混沌相关极限讨论相关的100-keV尺度。这一增益主要集中在N=Z附近的轻核,且对镜像核尤为显著。进一步测试表明,WKRRoe有望改进对N=Z附近实验未知核的预测,特别是当其镜像伙伴已被测量时。

英文摘要

Wigner- and mirror-correlated kernel ridge regression (WKRR) and its odd-even extension WKRRoe are developed to improve nuclear mass predictions. The Wigner and mirror correlations are encoded entirely in the kernel functions without introducing more weight parameters. For experimentally known nuclear masses, WKRRoe achieves a leave-one-out root-mean-square deviation of 98.0 keV, which falls below the often-quoted 100-keV scale discussed in connection with chaos-related limits. The gain is mainly concentrated in light nuclei near $N=Z$ and is especially large for mirror pairs. Further tests show that WKRRoe can potentially improve predictions for experimentally unknown nuclei near $N=Z$, particularly when their mirror partners have already been measured.

Comments8 pages, 6 figures

论文原文

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