Pionic Content of Rho-N-N and Rho-N-Delta Vertex Functions

Abstract

The dynamical content of rho-N-N and rho-N-Delta vertex functions is studied with a mesonic model. A set of coupled integral equations satisfied by these vertex functions were solved self-consistently. These soulutions indicate that the dominant mesonic content arises from di-pion dynamics. With the experimentally determined pion-baryon-baryon coupling constants and ranges as input, the model predicts a g_{\rho NN} that agrees with the meson-exchange-potential results. On the other hand, it predicts a smaller f_{\rho N\Delta} and much softer form factors. Implications of the findings on the use of phenomenological coupling constants in nuclear reaction studies are discussed.