AI 中文总结
该研究结合AMPT模型与Lednický-Lyuboshits形式论，定量评估费米子尺度效应对ΛΛ和ΛΛ̄对自旋关联测量的污染，指出低q_inv区域的偏差显著，需重视该效应的修正。
AI 中文摘要
超子自旋关联是高能碰撞中自旋动力学的灵敏探针，但从弱衰变角分布提取超子自旋关联时，会因量子统计和末态相互作用产生的费米子尺度（femtoscopic）效应而受到污染。本研究结合AMPT模型与Lednický-Lyuboshits形式论的自旋依赖权重，定量评估ΛΛ和ΛΛ̄对的这种污染。由于单重态和三重态自旋构型对衰变角分布的贡献不同，费米子尺度加权会诱导出表观角调制，即使不存在本征自旋关联也会产生虚假关联信号。研究发现，在低不变质量（q_inv）区域，该诱导偏差会变得显著，此时费米子尺度效应的总幅度可与CMS初步测量结果相当。本研究结果建立了评估这类系统误差的框架，强调在未来侧重低相对动量区域的微分分析中，必须仔细考虑费米子尺度修正。
英文摘要
Hyperon spin correlations serve as sensitive probes of spin dynamics in high-energy collisions, yet their extraction from weak-decay angular distributions can be contaminated by femtoscopic effects due to quantum statistics and final-state interactions. In this work, we quantitatively assess this contamination for $ΛΛ$ and $Λ\barΛ$ pairs using the AMPT model combined with spin-dependent weights from the Lednický--Lyuboshits formalism. Because the singlet and triplet spin configurations contribute differently to the decay-angle distribution, femtoscopic weighting induces an apparent angular modulation, creating a fake correlation signal even when no intrinsic spin correlation is present. We find that the induced bias can become substantial in the low-$q_{\mathrm{inv}}$ region, where the combined femtoscopic effect reaches a magnitude comparable to that of the preliminary CMS measurements. Our results establish a framework for evaluating such systematics, highlighting that femtoscopic corrections must be carefully considered in future differential analyses that emphasize the low-relative-momentum region.
Comments10 pages, 5 figures
