Generalized Pole-Dominance Hypothesis, Current Algebra, andS-WaveK+pScattering

Abstract

A test of generalized PDDAC (pole dominance of the divergence of the axial current) for ${A_{\mu }}^{K^{\pm }}$ is made by calculating the $S$-wave scattering length and effective range for $K^{+}p$ scattering using current-algebra techniques. First-order corrections in the kaon four-momentum are shown to be zero for the scattering length and small for the effective range. From a comparison with experiment, PDDAC for the $K$ meson seems to be good within 30%.