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POMERON AND f EXCHANGE AMPLITUDES IN ELASTIC ~?p SCATTERING*

By Michel Davier

Abstract

The dual absorptive model of Harari is shown to explain consistently the s ant t dependence of the sum of 7;‘ ~ and n-p elastic differential cross sections at high energy. The Pomeron amplitude shrinks at a rate similar to that of K+p elastic scattering while the f amplitude is shown to be dominated by peripheral partial waves at a radius * 1 fermi. Finally, the shrinkage and s dependence of the f amplitude follow a canonical Regge behavior. (Submitted to Phys. Letters) Work supported by the U. S. Atomic Energy Commission. It has always been a difficult problem to separate Pomeron (P) and f exchange amplitudes in n’p and K*p elastic scattering amplitudes. Owing to the fact that they have the same quantum numbers, they always appear together and their separation cannot be made without the help of a specific model. For example, duality tells us that f exchange is dual to s-channel resonances 1 while Pomeron exchange is dual to s-channel background in the FESR sense, 2 although it is perhaps most simply described at all energies in the s channel. FESR analyses3 have already yielded interesting results on the Regge f amplitude. In this letter we determine the Pomeron and f amplitudes from high energy asp elastic scattering data using the dual absorptive model of Harari. 4 Such a model explains qualitatively all the features of TN and KN forward elastic scattering and has been successfully used to extract the imaginary part of the non-Pomeron helicity non-flip amplitude in K*p elastic scattering at 5 GeV/c. 5 The main result there was the strongly peripheral behavior of this amplitude which was parameterized by Im R,+(t) = A eBt JO(R A) (1) with R- 1 fermi and B = 1.3 GeV-2. On the other hand the Pomeron amplitude as obtained from the exotic K+p elastic scattering had contributions from all partial waves within the interaction radius and could be represented with a simple exponential for

Year: 1972
OAI identifier: oai:CiteSeerX.psu:10.1.1.412.5061
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