An Identity on SU(2) Invariants

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1088/1751-8113/41/1/015206

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.

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