Baryon Regge Trajectories in the Light of the $1/N_c$ Expansion

TL;DR

This paper investigates baryon Regge trajectories using the $1/N_c$ expansion of QCD, revealing two distinct linear trajectories for different spin-flavor multiplets.

Contribution

It introduces a novel analysis of baryon Regge trajectories within the $1/N_c$ expansion framework, neglecting spin-orbit effects.

Findings

Identifies two linear Regge trajectories for symmetric and mixed symmetric multiplets.

Shows the evolution of spin-flavor singlet masses with angular momentum.

Demonstrates the applicability of the $1/N_c$ expansion to baryon spectroscopy.

Abstract

We analyze Regge trajectories in terms of the $1/N_c$ expansion of QCD. Neglecting spin-orbit contributions to the large $N_c$ baryon mass operator, we consider the evolution of the spin-flavor singlet component of the masses with respect to the angular momentum. We find two distinct and remarkably linear Regge trajectories for symmetric and for mixed symmetric spin-flavor multiplets.