密度算符表示中的费米子关联函数
Femtoscopic Correlation Functions in Density Operator Representation
- School of Physics, Beihang University（北京航空航天大学物理学院）
- Instituto de Física, Universidade de São Paulo（圣保罗大学物理研究所）
- Institute for Advanced Study in Nuclear Energy & Safety, College of Physics and Optoelectronic Engineering, Shenzhen University（深圳大学物理与光电工程学院核能与安全高等研究院）
- Shenzhen Key Laboratory of Nuclear and Radiation Safety（深圳市核与辐射安全重点实验室）
- Sino-French Carbon Neutrality Research Center, École Centrale de Pékin/School of General Engineering, Beihang University（北京航空航天大学中法碳中和研究中心/通用工程学院）
- Peng Huanwu Collaborative Center for Research and Education, Beihang University（北京航空航天大学彭桓武交流合作中心）
- Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences（中国科学院现代物理研究所南方核科学理论中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文在密度算符层面重新表述费米子关联函数，解决其物理合理性问题，并明确源与相互作用表示需一致匹配，提出操作性约定以支持CF间预测。
AI中文摘要：
费米子关联函数（CFs）已越来越多地用于提取不稳定粒子对之间的强相互作用，但其物理合理性最近受到质疑。为回答这一问题，我们在算符层面表述CFs，其中观测子系统由约化密度算符描述，后续动力学被吸收进一个有效测量算符。在四个合理约化条件下，恢复了Koonin-Pratt形式。该表述明确指出，源侧与相互作用侧的表示必须一致匹配，并激发了一种操作性约定，即测量到的参考关联建立一种兼容的源-相互作用配对，该配对可扩展到其他粒子对，用于CF到CF的预测。
英文摘要：
Femtoscopic correlation functions (CFs) have been increasingly used to extract strong interactions between pairs of unstable particles, but their physical soundness has recently been questioned. To answer this, we formulate CFs at the operator level, with the observed subsystem described by a reduced density operator and subsequent dynamics absorbed into an effective measurement operator. The Koonin-Pratt form is recovered under four well-motivated reductions. The formulation makes explicit that the source-side and interaction-side representations must be consistently matched, and motivates an operational convention in which a measured reference correlation establishes a compatible source--interaction pairing that can be extended to other pairs for CF-to-CF predictions.
