Hadronic Regge Trajectories: Problems and Approaches

TL;DR

This paper examines hadronic Regge trajectories using string and potential models, revealing their curvature and flavor dependence, and compares these findings with experimental data and existing quark models.

Contribution

It provides a comparative analysis of Regge trajectories in string and potential models, highlighting their curvature and flavor dependence in resonance regions.

Findings

Regge trajectories are generally curved and flavor-dependent.

Potential models describe baryon trajectories well.

String models predict linear high-J trajectories with low-J nonlinearity.

Abstract

We scrutinized hadronic Regge trajectories in a framework of two different models --- string and potential. Our results are compared with broad spectrum of existing theoretical quark models and all experimental data from PDG98. It was recognized that Regge trajectories for mesons and baryons are not straight and parallel lines in general in the current resonance region both experimentally and theoretically, but very often have appreciable curvature, which is flavor-dependent. For a set of baryon Regge trajectories this fact is well described in the considered potential model. The standard string models predict linear trajectories at high angular momenta J with some form of nonlinearity at low J.