Elastic Scattering at Current and Future Colliders

Abstract

Measurements from ISR, SPS, Tevatron ineluding most recent measurements by E- 81 1 collaboration and future measurements from PP2PP at RH1C as well as from CMS, and TOTEM at LHC throws light on various aspects of elastic and diffractive scattering. We have analysed the world data for proton-proton and proton-antiproton scattering in the light of predictions of various models with special focus on Eikonal picture and QCD inspired models. Special emphasis has been given on the shrinkage of the diffraction peak and dip structure in the differential cross section besides encompassing other physical parameters. These parameters have been computed in the light of Generalized Chou-Yang model and compared with other models with special emphasis on the possibility of multiple dip structure at RH1C and LHC energies. Role of p, ration of the real and imaginary parts of the scattering amplitude, in the appearance or otherwise of multiple structure has also been considered. At the same time, presence of Odderon at high energy has been in question for quite some time. Wc have probed the Odderon description in theory and possibility of its search at the current and future colliders. The Odderon in perturbative and non-perturbative QCD has been discussed along with some phenomenological approaches. A comparison of the Odderon description with other models has also been made with the available data including measurements from cosmic ray. which corresponds to the LHC energy of 14 TeV and beyond. Our sludy also focuses on the measurements at RHTC and LHC and the presence or otherwise of Odderon, In the light of this analysis, suggestions for future measurements have been made.