Regge trajectories of excited baryons, quark-diquark models, and quark-hadron duality

© 2017 American Physical Society. The parton model relations in conjunction with quark-hadron duality in deep inelastic scattering suggests an asymptotic dominance of the quark-diquark type of baryonic excited states with a radial Regge uniformly distributed mass-squared spectrum, Mn2=μ2n+M02. We argue that this points to a linearly quark-diquark confining potential. We analyze the radial (n) and angular-momentum (J) Regge trajectories for all light-quark states with baryon number 1 listed in the 2016 edition of the Particle Data Tables. The parameters of the mass-squared trajectories are obtained by linear regression assuming ΔMn2∼MnΓn weighted with the width Γn of the resonance, and the error analysis is carried out accordingly.