Masses, Radii and Regge Trajectories of $\Sigma_u^-$ State Hybrid Charmonium

TL;DR

This study calculates the masses and radii of $\Sigma_u^-$ hybrid charmonium mesons using a non-relativistic potential model, compares results with lattice simulations, and constructs Regge trajectories showing near-linear behavior.

Contribution

It provides new numerical calculations of hybrid charmonium meson properties and demonstrates their Regge trajectories are nearly linear and parallel.

Findings

Calculated masses closely match lattice simulation results.

Regge trajectories are nearly linear and parallel.

Masses and radii of hybrid mesons are systematically determined.

Abstract

In this paper, masses and radii of $\Sigma^-_u$ states hybrid charmonium mesons are calculated by numerically solving the Schr\"odinger equation with non-relativistic potential model. Results for calculated masses of $\Sigma^-_u$ states charmonium hybrid mesons are found to be close to the results obtained through lattice simulations. Calculated masses are used to construct Regge trajectories. It is found that the trajectories are almost linear and parallel.