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An identity on SU(2) invariants

Herry J Kwee and Richard F Lebed

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We prove an identity (equation (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.


PACS

11.30.Ly Other internal and higher symmetries

11.55.Hx Sum rules

13.75.-n Hadron-induced low- and intermediate-energy reactions and scattering (energy(less-than-or-equal-to)10 GeV)

MSC

81V25 Other elementary particle theory

Subjects

Particle physics and field theory

Dates

Issue 1 (11 January 2008)

Received 5 June 2007, in final form 10 November 2007

Published 12 December 2007



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