The effects of the small t properties of hadronic scattering amplitude on the determination its real part

TL;DR

This paper analyzes how the small t properties of the hadronic scattering amplitude influence the determination of its real part, considering Coulomb-hadron interference and spin-flip effects in proton-antiproton and proton-proton elastic scattering data.

Contribution

It introduces a comprehensive analysis of the impact of small t properties, Coulomb-hadron interference, and spin-flip contributions on the scattering amplitude's real part determination.

Findings

The size of the spin-flip amplitude can be inferred from small t differential cross sections.

The deviation of the real part parameter ρ(s,t) from previous dispersion relation analyses is consistent across assumptions.

Effects examined significantly influence the differential cross section shapes in proton-proton and proton-antiproton scattering.

Abstract

Taking into account the different forms of the Coulomb-hadron interference phase and the possible spin-flip contribution the new analysis of the experimental data of the proton-antiproton elastic scattering at $3.8 < p_L <6.0 \ $GeV/c and small momentum transfer is carried out. It is shown that the size of the spin-flip amplitude can be determined from the form of the differential cross sections at small $t$, and the deviation of $\rho(s,t)$ obtained from the examined experimental data of the $p\bar{p}$ scattering from the analysis \cite{Kroll}, based on the dispersion relations, is conserved in all xamined assumptions. The analysis of the proton-proton elastic scattering at $9 < p_L < 70 \ $GeV/c also shows the impact of the examined effects on the form of the differential cross sections.