AI 中文总结
该研究提出一种相空间加权方法，将探测器质量分辨率效应纳入振幅分析，应用于特定衰变时可降低拟合偏差、抑制人工结构，提升高精度强子实验的分析可靠性。
AI 中文摘要
我们提出了一种相空间加权方法，用于高效且灵活地将探测器质量分辨率效应纳入振幅分析。该方法使用包含真实级和重建运动学的全模拟蒙特卡洛样本，来估计每个观测事件周围的局部探测器响应。基于这些真实-重建对应关系，逐事件权重被构建，以将理论振幅从真实相空间映射到弥散的观测空间。通过这种方式，探测器弥散可被纳入似然拟合，而无需执行显式的多维卷积或实时探测器模拟。该程序自然处理达利兹平面上的非均匀分辨率，且可扩展到不变质量之外的动量和角变量。将其应用于衰变 $J/\psi \rightarrow \Xi^{-} \bar{\Xi}^{+}\pi^0$ 和 $J/\psi\rightarrow K^-\Lambda\bar{\Xi}^+$ 时，该方法显著降低了拟合共振参数和干涉模式中的偏差，抑制了人工结构，并提高了高精度强子实验中分波分析和共振光谱学的可靠性。
英文摘要
We present a phase-space weighting method for incorporating detector mass-resolution effects into amplitude analysis in an efficient and flexible way. The method uses fully simulated Monte Carlo samples containing both truth-level and reconstructed kinematics to estimate the local detector response around each observed event. Based on these truth-reconstruction correspondences, event-by-event weights are constructed to map theoretical amplitudes from the true phase space to the smeared observational space. In this way, detector smearing can be included in the likelihood fit without performing an explicit multidimensional convolution or on-the-fly detector simulation. The procedure naturally handles nonuniform resolution across the Dalitz plane and can be extended beyond invariant masses to momentum and angular variables. Applied to the decays $J/ψ\rightarrow Ξ^{-} \barΞ^{+}π^0$ and $J/ψ\rightarrow K^-Λ\barΞ^+$, the method significantly reduces biases in fitted resonance parameters and interference patterns, suppresses artificial structures, and improves the reliability of partial-wave analysis and resonance spectroscopy in high-precision hadron experiments.
