Consistent description ofNNandπNinteractions using the solitary boson exchange potential

Abstract

A unified description of $\mathrm{NN}$ and $\ensuremath{\pi}N$ elastic scattering is presented in the framework of the one solitary boson exchange potential (OSBEP). This model already successfully applied to analyze $\mathrm{NN}$ scattering is now extended to describe $\ensuremath{\pi}N$ scattering while also improving its accuracy in the $\mathrm{NN}$ domain. We demonstrate the importance of regularization of $\ensuremath{\pi}N$ scattering amplitudes involving $\ensuremath{\Delta}$ isobars and derivative meson-nucleon couplings, as this model always yields finite amplitudes without recourse to phenomenological form factors. We find an empirical scaling relation of the meson self-interaction coupling constants consistent with that previously found in the study of $\mathrm{NN}$ scattering. Finally, we demonstrate that the OSBEP model does not contradict the soft-pion theorems of $\ensuremath{\pi}N$ scattering.