Low-energy aspects of a dual relativistic quark model

Abstract

The high-energy behaviour of a previously constructed dual relativistic quark model for ππ and πN scattering amplitudes is examined in detail. The model has a satisfactory low-energy behaviour and no parity doubling or ghosts on leading trajectories, and the leading trajectory residue factorizes into a product of collinearU6 ⊗O2 invariant vertices. The singularities in the complex angular-momentum plane are examined in detail and the high-energy limit of our functions is explicitly exhibited. The model is found to give satisfactory results for forward πN charge-exchange scattering and backward π±p scattering.