Higher Resonance Contributions to the Adler-Weisberger Sum Rule in the Large N_c Limit

Details Higher Resonance Contributions to the Adler-Weisberger Sum Rule in the Large N_c Limit Higher Resonance Contributions to the Adler-Weisberger Sum Rule in the Large N_c Limit

1993-11-16

arxiv.org/abs/hep-ph/9311299v2

J.Phys.G20:1583-1590,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTeX, TH Darmstadt preprint IKDA 93/47, REVISED

Scientific paper

10.1088/0954-3899/20/10/005

We determine the $N_c$--dependence of the resonance contributions to the Adler--Weisberger sum rule for the inverse square $1/g_A^2$ of the axial charge coupling constant and show that in the large $N_c$ limit the contributions of the Roper-like excitations scale as $O(1/N_c)$. Consistency with the $1/N_c^2$ scaling of the $1/g_A^2$ term in the sum rule requires these contributions to cancel against each other.

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