Properties of thePandP′Regge Trajectories from Low-EnergyπNandKNScattering Amplitudes

Abstract

We show that the resonance-dominance approximation for the low-energy part of finite-energy sum rules for the $C=+1\mathrm{}$, $I=0\mathrm{}$ $t$-channel $\pi N$ and $\mathrm{KN}$ elastic amplitudes reproduces correctly properties of the $P^{\prime }$ trajectory and residue functions. The Pomeranchukon is fully accounted for by the low-energy background. The Gell-Mann ghost-eliminating mechanism is favored for the $P^{\prime }$ trajectory.