Abstract

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

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