Abstract
The model for indefinitely rising Regge trajectories is based on the $l$-excitation scheme. It has been suggested that the effective strength of forces due to Regge-trajectory exchanges increases with energy in order to overcome the centrifugal repulsion. The output Regge trajectory is thus pulled up with energy. The suggested energy increase is simulated in a simple manner by considering a Yukawa potential with an energy-dependent coupling strength. It is found therein that the output trajectory must grow at least as fast as $\ensuremath{\surd}s$. Furthermore, accompanying the leading trajectory there occurs an infinite set of trajectories associated with higher radial quantum numbers. Trajectories characterized by finite radial quantum numbers are "parallel" to the leading trajectory for large $s$. The various resonances occur in a well-specified pattern. This pattern has been compared with the nonstrange baryon spectrum and is compatible with it. The behavior of $\mathrm{Im}\ensuremath{\alpha}$ and some multichannel effects on $\mathrm{Re}\ensuremath{\alpha}$ are also discussed.
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