A Two Channel Calculation of Screening Corrections

TL;DR

This paper introduces a two-channel eikonal model incorporating diffractive rescattering to accurately describe total, elastic, and diffractive cross sections across a wide energy range, aligning well with experimental data.

Contribution

It presents a novel two-channel calculation including diffractive rescattering, improving the description of scattering processes over previous models.

Findings

Good agreement with experimental total, elastic, and diffractive cross sections

Predicted ratio of single diffractive to elastic cross sections matches data

Survival probability of dijet production aligns with observations

Abstract

We present a two channel eikonal calculation in which the rescattering through a diffractive channel is included in addition to the elastic channel. Considering the spread of the experimental data, we find that we can obtain a very good description of $\s_{tot}$, $\s_{el}$ and $B_{el}$ in the ISR - Tevatron energy range. In this range of energy the diffractive channel, that was included in our calculation, leads to a ratio of $\s_{SD}/\s_{el}$ which varies between 1 and 0.5 for $20 GeV \leq \sqrt{s} \leq 14 TeV$ in agreement with the experimental data. The calculated survival probability of dijet production with a large rapidity gap is consistent with the data.