Abstract
A new second vacuum trajectory passing throughf*(1515) and σ(548), α(t)=− 0.3+t, is proposed, which, together with αp″(t=0)=− 0.5, overcomes the failure of Igi's original superconvergent πN sum rule and avoids the ghost-state of the conventionalP′-trajectory. The negative residue att=0 confirms the repulsive contribution of a vacuum pole component withJ=0 to the generalizeds-reaction potential, as postulated by Chew (1965). TheP- andP′-poles can build the non resonating background.
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