Abstract
The renormalized coupling strength of the β‐decay axial vector current is related to π± p cross sections through the Adler‐Weisberger sum rule, that follows from chiral symmetry. We attempt to understand the Adler‐Weisberger sum rule in the 1/Nc expansion in QCD, and in Skyrme‐Witten model that realizes the 1/Nc expansion in the low energy limit, using it to explicitly calculate both gA and the π± p cross sections.
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