Radial and angular-momentum Regge trajectories: a systematic approach

TL;DR

This paper systematically analyzes the radial and angular-momentum Regge trajectories of light-quark mesons, revealing non-universal slopes and extending the study to kaons, using a weighted linear regression approach.

Contribution

It introduces a weighted regression method to analyze Regge trajectories and demonstrates the non-universality of slopes in light mesons, including kaons.

Findings

Slopes in radial trajectories are larger than those in angular-momentum trajectories.

No strict universality of slopes in light non-strange mesons.

Extended analysis to kaon sector.

Abstract

We present the analysis of Ref.[1] of the radial (n) and angular-momentum (J) Regge trajectories for all light-quark meson states listed in the Particle Data Tables. The parameters of the trajectories are obtained with linear regression, with weight of each resonance inversely proportional to its half-width squared, (\Gamma/2)^2. The joint analysis in the (n,J,M^2) Regge plane indicates, at the 4.5 standard deviation level, that the slopes in n are larger from the slopes in J. Thus no strict universality of slopes occurs in the light non-strange meson sector. We also extend our analysis to the kaon sector.