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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Acknowledgments
We thank useful discussions with Xiao-Yu Li, Xiang-Kun Dong and Feng-Kun Guo. This work is partly supported by the China Postdoctoral Science Foundation under Grants No. 119103S408 (H.J.J.), and by National Natural Science Foundation of China under Grants No. 12175239, 12221005 (J.J.W.), and by the National Key R&D Program of China under Contract No. 2020YFA0406400 (J.J.W.), and by the NSFC under Grant No. 12070131001 (CRC110 cofunded by the DFG and NSFC), Grant No. 11835015, No. 12047503, and by the Chinese Academy of Sciences (CAS) under Grant No. XDB34030000 (B.S.Z.).
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Jing, HJ., Ben, D., Wu, SM. et al. Covariant orbital-spin scheme for any spin based on irreducible tensor. J. High Energ. Phys. 2023, 39 (2023). https://doi.org/10.1007/JHEP06(2023)039
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DOI: https://doi.org/10.1007/JHEP06(2023)039