Analytic model of Regge trajectories

Recently our collaboration has developed the analytical model for a Regge trajectory [10,12,13 (see CV)]. Our trajectory is compatible with the threshold behavior required by unitarity and asymptotics in agreement with analyticity constraints. In Refs. [12,13 (see CV)] the model was confronted in the time-like region with widths and masses of the mesonic resonances and, in the space-like region, the $\rho$ trajectory is compared with predictions derived from pion-nucleon charge-exchange reaction. Breaking of the exchange degeneracy was also studied in the model and its effect on both the masses and widths was determined. The model can be improved and tested in more details when the new experimental data will appear.