Some applications of regge theory to high energy cross sections

Abstract

This thesis deals with some applications of Regge Theory to K (^+) p and pp elastic scattering. Chapter one is an introduction. The important results and problems of Regge theory are discussed, together with some recent developments. In chapter two a model incorporating doubled trajectories is proposed and compared to K (^+) p elastic scattering data. The model supports t channel helicity conservation for the pomeron near the forward direction. The results for K - p agree in part with those of Heyot and Wavelet at 10 GeV/c, and those For K + p agree well with the CERN beta phase shift solution at 2.5 CeV/c. In chapter three a J-plane analysis technique is introduced. It is applied to pp elastic scattering, where the results do not allow an interpretation in terms of simple poles. Evidence is presented that the curvature of the pp total cross section is not due to exchange degeneracy breaking. In chapter four the J-plane structure of pp scattering in the absorption model is investigated. Many of the puzzling features of the results of chapter three are explained. Chapter five is concerned with the recent data on pp scattering at high energies. Several models which have bean proposed to explain these data are discussed and soma conclusions are drawn.