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PROPERTIES OF THE P AND P ’ REGGE TRAJECTORIES FROM LOW ENERGY nN AND KN SCATTERING AMPLITUDES

By Frederick J. Gilman, Haim Harari and Yair Zarmi

Abstract

We show that the resonance-dominance approximation for the low energy part of finite energy sum rules for the C = + 1, I = 0 t-channel nN and KN elastic amplitudes reproduces correctly properties of the P1 trajectory and residue functions. The Pomeranchon is fully accounted for by the low energy background. The Gell-Mann ghost eliminating mechanism is favored for the P ’ trajectory. Finite energy sum rules ’ (FESR) enable one to relate the phenomenological Regge description of high energy scattering amplitudes to the properties of low energy resonances or background amplitudes. The resonance-dominance approximation for the low energy region has been successful in computing various properties of trajectories other than the Pomeranchon2, while in the case of C = + 1, I = 0 t-channel amplitudes it is difficult to separate the contributions of the P and Pf trajectories in a straightforward manner. It was recently proposed3 that this difficulty can be removed if we assume that the Pomeranchon is mostly l’builtft (in the FESR sense) from the non-resonating f’backgroundfl part of the low energ

Year: 1968
OAI identifier: oai:CiteSeerX.psu:10.1.1.412.9124
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