Duality and Proton - Proton Scattering at All Angles

: \ We obtain a very good description of all available large angle pp elastic scattering data using a dual model with logarithmic trajectories. Our fit strongly suggests that the dual amplitude is responsible for filling in ,a pronounced dip produced by the Pomeranchuk singularity. This new explanation of the shoulder in pp data survives the test of an enormous extrapolation from s N, 26-(GeV/~)~ .to s N 2600 (GeV/c)2 and succssfully predicts the depth of the dip at t@ -1.2 (GeV/c)2 in the recent ISR data. The addition of an eikonalized Pomeranchukon exchange term to our dual amplitude results in an excellent description of pp scattering data at all angles. 3: We present a simple description of all available high energy pp elastic scattering data 192 in terms of dual and nondual contributions to\ the amplitude. Although some details of our picture might change, the tests provided by the vast range of pp data are so stringent, that the fits presented here constitute strong evidence for the validity of our general picture. A striking new feature is that the range of applicability and usefulness of duality and Reggeism is extended to high momentum transfers far beyond the normal ranFe. Our amplitude has the form3 APp(s,t) = P + (dual contribution). (1) P, the nondual component, is the contribution of the Pomeranchuk singularity. It is responsible for the forward diffraction peak, and becomes unimportant at large values of ItI. The differential cross section at large ItI is governed by the dual contribution. The flat behavior, at large negative values of t, of ,the effective Regge trajectory in pp scattering cannot be explained by the linear trajectories of the Veneziano model, for any reasonable value of the slope L%' . Consequently, the dual model which we use is a generalization of the Veneziano model, which allows logarithmic trajectories.More precisely, we use a modified, tachyon-free version of a dual amplitude proposed by Coon andBaker. 495