Regge trajectories of Excited Baryons, quark-diquark models and quark-hadron duality

TL;DR

This paper investigates the Regge trajectories of excited light baryons using quark-diquark models and quark-hadron duality, suggesting a linear confining potential and analyzing experimental data for mass and width relations.

Contribution

It introduces a model linking Regge trajectories with quark-diquark confinement and provides a detailed analysis of light baryon spectra from experimental data.

Findings

Regge trajectories are linear in mass squared for light baryons.

A linear quark-diquark confining potential is supported by the data.

Mass and width relations are established through regression analysis.

Abstract

The parton model relations in conjunction with quark-hadron duality in deep inelastic scattering suggests an asymptotic dominance of quark-diquark type of baryonic excited states with a radial Regge uniformly distributed mass squared spectrum $M_{n}^2 = \mu^2 n + M_0^2$. We argue that this points to a lineary quark-diquark confining potential. We analyze the radial ($n$) and angular-momentum ($J$) Regge trajectories for all light-quark states with baryon number one listed in the 2016 edition of the Particle Data Tables. The parameters of the mass squared trajectories are obtained by linear regression assuming $\Delta M_n^2 \sim M_n \Gamma_n $ weighted with the width $\Gamma_n$ of the resonance and the error analysis is carried out accordingly.