An Identity on SU(2) Invariants

Abstract

We prove an identity [Eq. (1) below] among SU(2) 6j and 9j symbols that generalizes the Biedenharn-Elliott sum rule. We prove the result using diagrammatic techniques (briefly reviewed here), and then provide an algebraic proof. This identity is useful for studying meson-baryon scattering in which an extra isoscalar meson is produced.

Comments: 12 pages, REVTeX, 9 .eps figures, version accepted by J. Phys. A