Proton - proton scattering at high energies

Abstract

This thesis deals with various aspects of proton-pronton scattering at high energies, in particular the recent CERN-ISR results. In chapter one, first we discuss briefly the experimental situation of the total cross-sections and elastic scattering of hadrons on protons up to NAL energies. Then we give a general review of the methods which have been used for the determination of the total cross-section in the ISR. The main experimental features are summarized at the end of this chapter. The results of chapter one motivated a new interest in asymptotic theorems. In chapter two we discuss some theoretical aspects which are model independent, and some physical predictions in the presence of an asymptotic growth of στ. Chapter three is concerned with fitting the data with a variety of Regge pole and cut models. We consider various eikonal-type prescription for the cut strength. In chapters four and five we re-examine the data using two phenomenlogical models; namely : the overlap function model and the geometrical scaling model, using mainly impact parameter language. It will turn out that geometrical scaling hypothesis can describe the main qualitative features of present data. A number of interpretations have been proposed to explain the rise of στ in the ISR energy range. In chapter six we consider the question of the rising cross-section. We discuss two mechanisms proposed to explain the rise of στ, where in both mechanisms the rise of στ in the ISR energy range is interpreted as a threshold effect. Finally we end this work by examining the rise of στ in impact parameter space.