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arXiv 2301.01575hep-phhep-exhep-th
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基于不可约张量的任意自旋协变轨道-自旋方案

Covariant orbital-spin scheme for any spin based on irreducible tensor

Hao-Jie Jing, Di Ben, Shu-Ming Wu, Jia-Jun Wu, Bing-Song Zou

AI总结:

本文基于洛伦兹群不可约张量,提出任意自旋的协变轨道-自旋耦合一般形式,并给出构造分波振幅的系统方法,适用于有质量与无质量粒子。

摘要:

在强子谱物理中,分波分析是提取强子共振态性质的主要方法。协变轨道-自旋耦合方案因其洛伦兹协变形式及确定的轨道-自旋量子数,在其他分波方法中具有独特优势。本文基于齐次正常洛伦兹群及其小子群的不可约张量,提出了协变轨道-自旋耦合方案的一般形式。文中提供了一种以洛伦兹协变方式构造分波振幅的系统性程序,该方法可应用于有质量和无质量粒子,并包含具体实例。

英文摘要:

In hadron spectrum physics, the partial wave analysis is a primary method used to extract properties of hadronic resonances. The covariant orbital-spin coupling scheme holds unique advantages over other partial wave methods due to its Lorentz covariant form and determined orbital-spin quantum numbers. This paper presents a general form of the covariant orbital-spin coupling scheme based on the irreducible tensor of the homogeneous proper Lorentz group and its little groups. A systematic procedure for constructing partial wave amplitude in a Lorentz covariant way is provided, which can be applied to both massive and massless particles. Specific examples are also included.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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