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

Abstract

In this paper, masses and radii of ${\Sigma }_u^{-}$ states hybrid charmonium mesons 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.

8 pages, 5 figures, 3 Tables. arXiv admin note: text overlap with arXiv:2005.02626