Abstract
The proton-proton and proton-antiproton inelasticity profiles in the impact parameter display very interesting and sensitive features which cannot be deduced solely from the current large body of high-energy scattering data. In particular, phenomenological studies exhibit a link between the ratio of the real to imaginary parts of the elastic scattering amplitude at a finite momentum transfer, and the corresponding change of character of the inelastic processes from central to peripheral collisions. We describe how a theoretical model, accommodating the existing data, based on the Regge hypothesis including both the Pomeron and odderon as double poles, and $\omega$ and $f$ mesons as single poles in the complex-$J$ plane, generates a hollow in the inelasticity at low impact parameters. The hollowness effect, which generally may be sensitive to model details, does unequivocally take place both for $pp$ and $p \bar p$ collisions within the applied Regge framework, indicating inapplicability of inelasticity-folding geometric approaches.
Highlights
Scattering experiments with hadrons are usually designed to learn about their structure and interactions [1]
The data exhibit a peak at soft kinematics, i.e., at small momentum transfers −t ≪ s
Whereas the degree of uncertainty introduced by this approximation is not known, the spin-flip amplitudes have been found to be npoffinffi vanishing but small in E950 fixed target experiment at s ∼ 25 GeV at the BNL Relativistic Heavy-Ion Collider (RHIC)
Summary
Scattering experiments with hadrons are usually designed to learn about their structure and interactions [1]. Only the desirable theoretical constraints such as unitarity, crossing, and analyticity, and display the outstanding experimental features of the data These models and the following parametrizations have been steadily and quantitatively tested and improved along the years. A major issue in this regard is the fact that the inelastic profile depends on the phase of the scattering amplitude and is not determined solely from the differential elastic scattering cross section without some additional assumptions. Despite this generic wide range soofu1r0ceGoefVarb≤itprarffisffiin≤es5s0, 0mGosetVpphaavnealpyrsoevsidinedthae shape for the inelasticity profile which is compatible with a. Regge models on the market, so the question of uniqueness of the description is a pertinent one; we leave a thorough comparison of different model proposals and parametrizations for a future research and here focus on a simple Regge model
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