Crossing-Symmetric Rising Regge Trajectories

Corrections due to the exchange of the resonances lying on the leading crossed-channel Regge trajectory are calculated for a linearly rising Regge trajectory in a single-channel, single-trajectory model. The corrections are small, and the equations force no restriction on the slope or intercept of the trajectory. The integral equations for the Regge parameters are derived, and detailed numerical results for the $\rho$ trajectory are given. A method for determining the slope of the trajectory is proposed.