自旋1强子中三维Breit系力学分布与二维无限动量系力学密度之间的可逆映射
An invertible map between 3D Breit-frame mechanical distributions and 2D infinite-momentum-frame mechanical densities in spin-1 hadrons
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中文总结 AI 辅助
本文为自旋1强子构建了3D Breit系与2D无限动量系力学分布间的可逆映射，通过Abel变换和反冲算子处理Wigner转动混合效应，证明额外多极不携带新力学信息。
中文摘要 AI 辅助
我们为自旋1强子构建了完整的3D Breit系压力与剪切力分布集合与坐标空间中受约束的2D无限动量系压力与剪切力密度空间之间的可逆映射。通过在无限动量系一侧分离Wigner转动引起的混合效应后，结合几何正向与逆向Abel变换及反冲算子，建立了两个不同参考系中分布集合之间的对应关系。与自旋1/2情形不同，这些混合效应通过引入额外的多极结构使自旋1强子的坐标空间关系复杂化，但形状因子之间的约束传播为力学密度上的约束，因此这些额外的多极并不引入新的力学信息。
英文摘要
We construct an invertible map between the complete set of 3D Breit-frame pressure and shear force distributions and the constrained space of 2D infinite-momentum-frame pressure and shear force densities in coordinate space for spin-1 hadrons. The correspondence between the two sets of distributions in different frames is established by combining the geometric forward and inverse Abel transformations with recoil operators after separating the Wigner rotation induced mixing effects on the infinite-momentum-frame side. Unlike in the spin-1/2 case, these mixings complicate the coordinate space relations for spin-1 hadrons by introducing additional multipole structures, but the constraints among the form factors propagate into constraints on mechanical densities, so that these additional multipoles do not introduce new mechanical information.
发表机构
- University of Virginia（弗吉尼亚大学）
- Virginia Tech（弗吉尼亚理工大学）
机构由 AI 辅助整理，请以论文原文为准。
