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arXiv · 1204.5362

Angular momentum decomposition of chiral multiplets in front form

María Gómez-Rocha
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Abstract

In this article we derive the unitary transformation that relates the $q\bar q$ chiral basis $\{R; I J^{PC} \}$ to the $\{I; ^{2S+1}L_J\}$-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.

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María Gómez-Rocha. 2012-04-24. Angular momentum decomposition of chiral multiplets in front form. https://doi.org/10.1142/s0217751x12501631

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