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

A. Wirzba·M. Kirchbach·D. O. Riska
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Abstract

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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A. Wirzba, M. Kirchbach, D. O. Riska. 1994-01-18. Higher Resonance Contributions to the Adler-Weisberger Sum Rule in the Large N_c Limit. https://doi.org/10.1088/0954-3899%2F20%2F10%2F005

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