English

Angular momentum decomposition of chiral multiplets in front form

High Energy Physics - Theory 2012-11-27 v2 Nuclear Theory

Abstract

In this article we derive the unitary transformation that relates the qqˉq\bar q chiral basis {R;IJPC}\{R; I J^{PC} \} to the {I;2S+1LJ}\{I; ^{2S+1}L_J\}-basis in a front-form framework. From the most general expression for the Clebsch-Gordan coefficients of the Poincar\'e group one can see that the chiral limit brings the angular momentum coupling into a simple form that permits the relation in terms of SU(2) Clebsch-Gordan coefficients. We demonstrate that such a transformation is identical to the one was obtained for canonical spin in the instant form.

Keywords

Cite

@article{arxiv.1204.5362,
  title  = {Angular momentum decomposition of chiral multiplets in front form},
  author = {María Gómez-Rocha},
  journal= {arXiv preprint arXiv:1204.5362},
  year   = {2012}
}
R2 v1 2026-06-21T20:54:01.851Z