Consistency condition for the A 1ϱπ system from unitarized current algebra

Abstract

Using recent attempts to incorporate unitarity into the current-algebra approach additional information on the A 1 ϱπ system is obtained. When the resulting consistency condition is applied to the original hard-pion model of Schnitzer and Weinberg, the parameter δ, which is related to the magnetic moment of the A 1 meson, can be determined. The result turns out to depend crucially on the exact value of gϱ, the coupling constant of the isovector current to the ϱ-meson.