  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.
