An Identity on SU(2) Invariants
Herry J. Kwee, Richard F. Lebed
TL;DR
This paper proves a new identity involving SU(2) 6j and 9j symbols, extending the Biedenharn-Elliott sum rule, with applications in meson-baryon scattering involving isoscalar mesons.
Contribution
It introduces a novel identity among SU(2) invariants, proven via diagrammatic and algebraic methods, enhancing tools for quantum angular momentum calculations.
Findings
Proves a new SU(2) invariant identity extending known sum rules.
Provides diagrammatic and algebraic proofs of the identity.
Highlights applications in meson-baryon scattering processes.
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.
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