The proton inelastic cross section at ultrahigh energies

We study the consequences of high-energy collider data on the best fits to total, elastic, and inelastic cross sections for $pp$ and $p\bar{p}$ scattering using two very distinct unitarisation schemes: the eikonal and the $U$-matrix. Despite their analytic differences, we find that the two schemes lead to almost identical predictions up to EeV energies, with differences only becoming significant at GUT-scale and higher energies.Comment: 7 pages, 4 figure

Unitarisation dependence of diffractive scattering in light of high-energy collider data

peer reviewedWe study the consequences of high-energy collider data on the best fits to total, elastic, inelastic, and single-diffractive cross sections for pp and pp¯ scattering using different unitarisation schemes. We find that the data are well fitted both by eikonal and U-matrix schemes, but that diffractive data prefer the U-matrix. Both schemes may be generalised by means of an additional parameter; however, this yields only marginal improvements to the fits. We provide estimates for ρ, the ratio of the real part to the imaginary part of the elastic amplitude, for the different fits. We comment on the effect of the different schemes on present and future cosmic ray data

A multi-channel U-Matrix model of hadron interaction at high energy

Abstract The present phenomenological study investigates a multi-channel model of high-energy hadron interactions by considering a full parton configurations space and the U-matrix unitarisation scheme of the elastic amplitude, comparing it to the two-channel model, and examining the consequences of up-to-date high-energy collider data on the best fits to various hadronic observables in pp and p p ¯ $$p\overline{p}$$ collisions. The findings of this study reveal that the data are well-fitted with the multi-channel model and that the difference compared to the two-channel one is negligible. Of particular significance is the observation that the U-matrix unitarisation is likely incompatible with uncorrelated pomeron exchange, as suggested by the equivalence between the U-matrix multi-channel and eikonal two-channel descriptions. Based on our best fit, predictions for the ρ parameter, the double diffractive cross-section, and the elastic differential cross-section are provided. We shed light on the effect of taking into account a multi-channel model on present and future cosmic ray data

Bivariate analysis of SSI’s risk factors: Chi-squared test for nominal variables, Student’s t-test for continuous variables with normal distributions, Mann-Whitney U test for continuous variables with skewed distributions.

Bivariate analysis of SSI’s risk factors: Chi-squared test for nominal variables, Student’s t-test for continuous variables with normal distributions, Mann-Whitney U test for continuous variables with skewed distributions.</p

Informed consent form.

(DOC)</p

10.6084/m9.figshare.21330624.

(DOCX)</p

CONSORT 2010 flow diagram.

CONSORT 2010 flow diagram.</p

Consort checklist.

(DOC)</p

Study protocol.

(DOCX)</p

Patients’ characteristics and risk of SSI.

Patients’ characteristics and risk of SSI.</p