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arXiv · 2301.01575

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
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Abstract

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.

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Hao-Jie Jing, Di Ben, Shu-Ming Wu, Jia-Jun Wu, Bing-Song Zou. 2023-01-04. Covariant orbital-spin scheme for any spin based on irreducible tensor. https://doi.org/10.1007/jhep06(2023)039

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