The piNN vertex function in a meson-theoretical model

The piNN vertex function is calculated within a dispersion theoretical approach, including both pi-rho and pi-sigma intermediate states, where the sigma meson is an abbreviation for a correlated pion pair in a relative S-wave with isospin I=0. A strong coupling between the pi-sigma and the pi-rho states is found. This leads to a softening of the piNN form factor. In a monopole parameterization, a cut-off Lambda=800 MeV is obtained as compared to Lambda=1000 MeV using pi-rho intermediate states only.