发表机构
The Abdus Salam ICTP; International Centre for Theoretical Physics Asia-Pacific (ICTP-AP), University of Chinese Academy of Sciences (UCAS); Taiji Laboratory for Gravitational Wave Universe, University of Chinese Academy of Sciences (UCAS); CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences; School of Physical Sciences, University of Chinese Academy of Sciences（阿卜杜斯·萨拉姆理论物理中心; 亚太理论物理中心，中国科学院大学; 太极引力波宇宙实验室，中国科学院大学; 中国科学院理论物理研究所理论物理重点实验室; 中国科学院大学物理科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究将重子χPT扩展到高自旋共振的问题，基于反冲通道分波本征算符开发壳上实现，通过静态-反冲因子分解生成非冗余局部算符，新约化施加相关约束，框架可广泛应用于非相对论有效场论。
AI 中文摘要
将重子χPT扩展到更高自旋共振会引入非物理的低自旋混合，导致路径积分投影成本高昂。为解决此问题，我们基于反冲通道分波本征算符开发了重子展开的壳上实现。这些本征算符将静态质量依赖性与反冲结构分开，并直接在振幅空间中分配手征阶。由此产生的静态-反冲因子分解系统地为涉及更高自旋共振的重子扇区生成非冗余局部算符。通过一种新的线性代数约化施加味结构和全同粒子约束，该约化使用冯·诺依曼交替投影来提取相应的公共物理子空间。除了这个特定应用，该框架还可广泛应用于一般的非相对论有效场论。
英文摘要
Extending heavy-baryon \(χ\)PT to higher-spin resonances introduces unphysical lower-spin admixtures, leading to costly path-integral projections. To resolve this, we develop an on-shell implementation of the heavy-baryon expansion based on recoil-channel partial-wave eigenoperators. These eigenoperators separate the static mass dependence from recoil structures and assign chiral order directly in amplitude space. The resulting static--recoil factorization systematically generates non-redundant local operators for heavy-baryon sectors involving higher-spin resonances. Flavor structures and identical-particle constraints are imposed through a new linear-algebraic reduction that uses von Neumann alternating projections to extract the corresponding common physical subspace. Beyond this specific application, the framework can be broadly applied to general nonrelativistic effective field theories.
Comments60 pages, 1 figures
