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arXiv 2609.00582hep-ph

高自旋粒子的自旋密度矩阵

Spin density matrix for high-spin particles

  • Tsinghua University(清华大学)
  • University of Washington(华盛顿大学)

机构由 AI 辅助整理,请以论文原文为准。

Shaogang Peng, Xin Chen, Yuxuan Zhang, Qi Cai, Naiwen Xing, Yue Xuy

中文总结 AI 辅助

本文针对高自旋粒子,讨论宇称守恒下自旋密度矩阵(SDM)的性质,给出自旋-1、自旋-2粒子的SDM参数化形式,提供其在衰变过程角分析中的应用实例,可辅助实验数据分析。

中文摘要 AI 辅助

自旋密度矩阵(SDM)表征粒子的自旋态,为理解其产生机制提供重要信息。本文讨论宇称守恒下SDM的一般性质,给出符合所有预期约束的自旋-1和自旋-2粒子的特定SDM参数化形式;SDM的虚部(实部)与奇秩(偶秩)极化度相关,同时给出自旋-1和自旋-2情形的具体表达式。文中还提供SDM在多个具有不同自旋-宇称假设的衰变过程角分析中的应用实例,可用于辅助实验数据分析。

英文摘要

The spin density matrix (SDM) characterizes the spin state of a particle, which provides important information for understanding its production mechanism. A general discussion of the SDM under parity conservation, and specific SDM parameterizations for spin-1 and spin-2 particles are provided, which respect all the expected constraints. The imaginary (real) part of SDM is related to the degree of odd-rank (even-rank) polarization, with specific expressions given for spin-1 and spin-2 cases. Examples of applications of the SDM to angular analyses of several decay processes with different spin-parity hypotheses are also provided, which could be helpful in experimental data analyses.

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