发表机构
Xingzhi College, Zhejiang Normal University（浙江师范大学行知学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究扩展了基于Q_α^{-1/4}的α衰变经验模型，纳入角动量与子核形变，结合SVR模型将400个核素的α衰变半衰期预测RMS偏差降至0.56，支持N=184为下一个中子幻数。
AI 中文摘要
近期，Sobhani和Luo提出了一种基于Q_α^{-1/4}能量依赖关系的α衰变新经验公式，将质子数Z、中子数N以及相对中子过剩I=(N-Z)/(N+Z)作为主要参数。本研究对该模型进行扩展，明确纳入发射α粒子的角动量与子核的四极形变。采用该改进公式计算400个核素的α衰变半衰期，相对于实验数据的均方根（RMS）偏差为0.97。进一步采用支持向量回归（SVR），以Q_α^{-1/4}、N、Z、角动量及子核形变为输入特征，使均方根偏差降至0.56。最后，将扩展公式与SVR模型应用于预测Z=120和Z=122的偶偶核的α衰变半衰期，预测结果与Sobhani和Poenaru公式的结果具有良好一致性，两种方法均有力支持N=184为下一个中子幻数。
英文摘要
Recently, Sobhani and Luo \cite{sobhani2025unified} proposed a new empirical formula for $α$ decay based on the $Q_α^{-1/4}$ energy dependence, incorporating the proton number $Z$, neutron number $N$, and relative neutron excess $I = (N - Z)/(N + Z)$ as primary parameters. In this work, we extend this model by explicitly including the angular momentum of the emitted $α$ particle and the quadrupole deformation of the daughter nucleus. Using this improved formula to evaluate the $α$-decay half-lives of 400 nuclei yields a root-mean-square (RMS) deviation of 0.97 relative to experimental data. Furthermore, we employ support vector regression (SVR)-taking $Q_α^{-1/4}$, $N$, $Z$, angular momentum, and daughter-nucleus deformation as input features-which further reduces the RMS deviation to 0.56. Finally, we apply both the extended formula and the SVR model to predict the $α$-decay half-lives of even-even nuclei with $Z = 120$ and $Z = 122$. The predicted half-lives show good consistency with those from the Sobhani and Poenaru formulas, and both approaches strongly support $N = 184$ as the next neutron magic number.
