How Chiral Solitons RelateK¯NandπNScattering

Abstract

Large-$N$ arguments suggest that baryons correspond to soliton solutions of the optimal lowenergy Lagrangean of QCD. Such solitons are characterized by a hedgehog symmetry which mixes isospin and space rotations. We show that this symmetry implies linear relations between experimental $\overline{K}N$ and $\pi N$ elastic partial-wave scattering amplitudes. At least in one case these linear relations are satisfied with an extremely high accuracy.