Hard meson calculation of sigma pi pi , A sigma pi and sigma AA vertices

The low-energy theorems on the phi A/sub mu /A/sub nu / vertex following from current algebra and from the dimensional properties of the various components of the axial vector current A/sub mu / and of its divergence delta mu A/sub mu / are extended to finite momenta assuming of the energy momentum tensor phi and pion and A/sub 1/ dominance of A/sub mu /. Smooth vertex functions are determined for the sigma pi pi , sigma A pi and sigma AA couplings. The role of Schwinger terms in the extrapolation from the low-energy points is discussed. (26 refs).