Masses, Radii and Regge Trajectories of ${\Sigma }_u^{-}$ State Hybrid Charmonium

In this paper, masses, radii and $E_1$ radiative transitions of ${\Sigma }_u^{-}$ state hybrid charmonium mesons for radial and orbital excitations are calculated by numerically solving the Schrödinger 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.