Is the Regge Trajectory Quasi-linear or Square-root Form?

TL;DR

This paper compares quasi-linear and square-root Regge trajectories to determine which better models the masses of orbital excited mesons, finding the quasi-linear form more suitable for excited states.

Contribution

It provides a comparative analysis of quasi-linear and square-root Regge trajectories in modeling meson spectra, highlighting the better fit of the quasi-linear form for excited states.

Findings

Both trajectories fit ground mesons well.

Quasi-linear trajectory better describes excited meson states.

Square-root form is less consistent with excited state data.

Abstract

There are many orbital excited mesons discovered in recent years. In this work we attempt to study whether the Regge trajectory is quasi-linear or square-root form. In the framework of the quasi-linear Regge trajectory and square-root Regge trajectory, the masses of the states lying on the well established 11S0, 13S1, and 13P2 trajectories are estimated. Comparison of the results given by the two trajectories with the existing experimental data illustrates that both of them can give a reasonable description for the ground mesons. For the orbital excited states, the quasi-linear trajectory describes the existing meson spectrum to be more reasonable.