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An identity on SU(2) invariants

Herry J Kwee et al 2008 J. Phys. A: Math. Theor. 41 015206 (9pp)   doi: 10.1088/1751-8113/41/1/015206  Help

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Herry J Kwee and Richard F Lebed
Department of Physics, Arizona State University, Tempe, AZ 85287-1504, USA
E-mail: Herry.Kwee@asu.edu and Richard.Lebed@asu.edu

Abstract. 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 number: 03.65.Fd

Print publication: Issue 1 (11 January 2008)
Received 5 June 2007, in final form 10 November 2007
Published 12 December 2007

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