Covariant Orbital-Spin Scheme for Any Spin based on Irreducible Tensor

In hadron spectrum physics, the partial wave analysis is one of the main methods to extract the properties of hadronic resonances. Due to the obvious Lorentz covariant form and the determined orbital-spin quantum numbers, the covariant orbital-spin coupling scheme has unique advantages among usual partial wave methods. In this paper, the covariant orbital-spin coupling scheme is generalized based on the irreducible tensor of the homogeneous proper Lorentz group and its little groups. The general systematic procedure for constructing the partial wave amplitude in a Lorentz covariant way is given. This scheme is applicable to both massive and massless particles. Some specific examples are given.
Comment: 69 pages and 2 figures