Sum Rules Based on Khuri Amplitudes and Degeneracy of Regge Trajectories

l) have proposed an idea that the Pomeranchuk trajec tory is mostly built (in the sense of finite-energy sum rule) from the nonresonating background part of the low-energy amplitude while all other trajectories; including pI, are mainly generated by the low-energy resonances. They have formulated their idea by using the conventional discrete moment sum rules for crossing even· (or odd) amplitudes. In this paper we derive in § 2 a finite-energy sum rule (FESR) based on the Khuri amplitude. 2 ) Crossing relations of the amplitudes are not used in this FESR, contrary to the case of the usual FESR. The new FESR is applied in § 3 to KN and nn scatterings. Disregarding the Pomeranchuk contribution, ac cording to the idea of Harari et aI., we show that pI, (J), P and R trajectories are degenerate, i.e. *)