Angular momentum decomposition of chiral multiplets in front form

Original · EN

In this article we derive the unitary transformation that relates the q q chiral basis {R; I JPC } to the {I; ²ˢ⁺¹Lⱼ}-basis in a front-form framework. From the most general expression for the Clebsch-Gordan coefficients of the Poincaré 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.