Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-04-24
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
In this article we point out that the unitary transformation that relates the chiral basis $\{R; I J^{PC}\}$ and the $\{I; ^{2S+1}L_J \}$ basis, which was already derived for canonical spin in instant form, is also applicable in light-cone representations. 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 a clear relation in terms of SU(2) Clebsch-Gordan coefficients. It provides a tool of measurement of chiral symmetry in relativistic composite systems.
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