Kinematical form factors in the peripheral model

Abstract

In potential theory the «vertex functions» for resonance formation contain kinematical form factors, which depend on the spin of the resonance and are simply related to penetration factors. Analogous form factors are introduced for the relativistic vertex functions of the one-pion exchange model. The resulting vertex functions behave like the Born term functions near the pion pole, but go to constants as the momentum transfer goes to infinity, for arbitrary resonance spin. For elastic nucleon-nucleon scattering, the total form factor reduces to a simple pole.