Possible Connections between the Fermion Trajectories

Regge poles appearing in the odd and even continuations of the meson-baryon scattering amplitudes as a function of the energy are investigated from the point of view of relating different fermion trajectories. Many of the existing strange particle resonances with odd and even parity can be related whereas there are no pion-nucleon resonances with the proper quantum numbers which can be related within this scheme. The expected form of the trajectories is given in the complex $J$ plane and also as $\mathrm{Re}\alpha \mathrm{}\left(W\right)\mathrm{}$ and $\mathrm{Re}\alpha \left(W^2\right)$, the last one corresponding to the Chew-Frautschi diagram. With the discovery of new resonances further possibilities arise for the behavior of the fermion Regge trajectories, one of which is suggested for the 1765-MeV resonance.