Contemporary models of elastic nucleon scattering and their predictions for LHC

TL;DR

This paper compares traditional and modern models of elastic nucleon scattering, emphasizing the eikonal model's advantages for impact parameter analysis and discussing predictions for LHC energies.

Contribution

It highlights the limitations of the West and Yennie formula and advocates for the eikonal model in analyzing elastic collisions at high energies.

Findings

Eikonal model provides a more accurate impact parameter analysis.

Predictions for LHC elastic scattering based on contemporary models.

Discussion on the potential for precise luminosity determination.

Abstract

The analyses of elastic collisions of charged nucleons have been based standardly on West and Yennie formula. However, this approach has been shown recently to be inadequate from experimental as well as theoretical points of view. The eikonal model seems to be more pertinent as it enables to determine physical characteristics in impact parameter space. The contemporary phenomenological models cannot give, of course, any definite answer as the elastic collisions may be interpreted differently, as central or peripheral processes. Nevertheless, the predictions for the planned LHC energy have been given on their basis and the possibility of exact determination of luminosity has been considered.