A $J^\pi = 0^-$ Resonance for $\pi NN \to \pi NN $ in the Skyrme Model

Abstract

The scattering of pions on a dibaryon configuration is analyzed within the $SU(2)$ Skyrme model. It is shown that this model leads to a low-lying $(J^P,I)= (0^-,2)$ resonance. The possibility that this resonance corresponds to one proposed recently in the context of double charge exchange pion scattering on nuclei is discussed. Given the setup used in those experiments we also show that a resonance with isospin assignment $I=0$ cannot be excited according to the description presented here.