English

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

High Energy Physics - Phenomenology 2023-10-18 v3 High Energy Physics - Experiment High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2301.01575,
  title  = {Covariant orbital-spin scheme for any spin based on irreducible tensor},
  author = {Hao-Jie Jing and Di Ben and Shu-Ming Wu and Jia-Jun Wu and Bing-Song Zou},
  journal= {arXiv preprint arXiv:2301.01575},
  year   = {2023}
}

Comments

37 pages and 2 figures

R2 v1 2026-06-28T08:02:24.824Z