在变形质子放射性中将参数误差分布映射到核结构构型上
Mapping parametric error profiles onto nuclear structure configurations in deformed proton radioactivity
AI总结：
研究针对滴线附近质子放射性受核势模型参数不确定性影响的问题，建立贝叶斯UQ框架，结合半经典WKB近似校准相关势，通过实验约束提取多种后验概率等，将参数不确定性传播得到涵盖实验半衰期的结果，还发现核势结构软化与σ带的关系，可提取核结构信息。
AI中文摘要：
滴线附近质子放射性的理论描述常受核势模型参数不确定性挑战。为此建立稳健的贝叶斯不确定性量化（UQ）框架，结合半经典WKB近似校准Z = 50 - 82区域奇A质子发射体的变形伍兹 - 萨克逊势。受实验半衰期约束，提取势几何、多极形变和光谱因子的联合及边缘后验概率与协方差拓扑。利用符号相对灵敏度指数揭示参数层次的动态、质量依赖重排序。将参数不确定性传播得到的后验预测中位数和差异化σ带紧密涵盖多个数量级的实验半衰期且无系统偏差。在Z = 82壳层闭壳附近，核势的结构软化表现为变形分布中σ带的系统扩展和波动。这种相关性表明参数误差分布的宏观行为可映射到势能构型上，凸显贝叶斯UQ方法可作为从变形质子衰变系统学中提取可靠核结构信息的灵敏探针。
英文摘要：
Theoretical descriptions of proton radioactivity near the drip lines are often challenged by parametric uncertainties in nuclear potential models. To address this, a robust Bayesian uncertainty quantification (UQ) framework is established to calibrate the deformed Woods--Saxon potential coupled with the semi-classical WKB approximation for odd-$A$ proton emitters across the $Z=50$--$82$ region. Constrained by experimental half-lives, the joint and marginal posteriors and covariance topologies are extracted for the potential geometry, multipole deformations, and spectroscopic factors. Using a signed relative sensitivity index, a dynamic, mass-dependent re-ordering of parameter hierarchies is unraveled. Crucially, propagating these parametric uncertainties yields posterior predictive medians and differentiated $σ$ bands that tightly encompass experimental half-lives across multiple orders of magnitude without systematic bias. Furthermore, near the $Z=82$ shell closure, the structural softening of the nuclear potential manifests as a systematic expansion and volatility of the $σ$ bands in the deformation profiles. This correlation suggests that the macroscopic behavior of parametric error distributions can potentially be mapped onto potential energy configurations, underscoring that the Bayesian UQ methodology may serve as a sensitive probe to extract reliable nuclear structure information directly from deformed proton decay systematics.
