Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV and 8 TeV

Abstract

Under the influence of standardly used description of Coulomb-hadronic interference proposed by West and Yennie the protons have been interpreted as transparent objects; elastic events have been interpreted as more central than inelastic ones. It will be shown that using eikonal model the protons may be interpreted in agreement with usual ontological conception; elastic processes being more peripheral than inelastic ones. The corresponding results (differing fundamentally from the suggested hitherto models) will be presented by analyzing the most ample elastic data set measured at the ISR energy of 52.8 GeV and the LHC energy of 8 TeV. Detailed analysis of measured differential cross section will be performed and different alternatives of peripheral behavior on the basis of eikonal model will be presented. The impact of recently established electromagnetic form factors on determination of quantities specifying hadron interaction determined from the fits of experimental elastic data will be analyzed. The influence of some assumptions on proton characteristics derived from elastic hadronic amplitude determined on the basis of experimental data will be studied, too.

Once more on Coulomb-nuclear interference

“…We see that we are still very far from having right to neglect the proper sizes of the colliding protons.This means that we have to modify our expressions with including the proton electric form factors F (q 2 ) in the Coulomb phase. Actually these form factors can be identified with "effective form factors" as was introduced in [12]. We have now…”

“…( 4) for the total amplitude T C+N remains valid in its general form but now in function Ξ α we keep δ C as in Eq. (12). To eliminate the dependence on the fictitious photon mass λ we use the old trick (see, e.g.…”

The Contemporary State of Fundamental Physical Research and the Future Path to Scientific Knowledge

“…They break up at high collision energy values if the corresponding value of impact parameter is very low. A detailed discussion of analyses of experimental data under different assumptions (using the so-called eikonal model) and their impact on characteristics of protons may be found in a recent paper [29] that also includes a summary of historical context.…”

Possible studies at the first stage of the NICA collider operation with polarized and unpolarized proton and deuteron beams

“…A peak in f (s, t) at |t| ∼ 0.5 GeV 2 corresponds to a peak in the profile function Γ(b) at large distances b ∼ 7.0/ |t| ∼ 2 fm (here 7.0 is the second maximum of the Bessel function J 0 (x)), However, a straightforward calculation of Γ(b) in this way does not give reliable results in the region where Γ(b) becomes very small and sensitive to assumed phase of the amplitude used, its spin structure, behavior at higher |t|, etc. Actually, more sophisticated and indirect approaches are to be used in order to analyze data on the described oscillation see, for example, [58][59][60].…”