1204.5362 (María Gómez-Rocha)
María Gómez-Rocha
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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http://arxiv.org/abs/1204.5362
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