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 possibility 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 in the broadest region of momentum transfers will be analyzed.

Evolution equation for elastic scattering of hadrons

“…Similar property was recently discussed in [48,49]. Another important observation on the inelastic profile is the existence of a toroidal-like structure [50], later dubbed as 'hollowness' effect [51], which was also studied in subsequent works [36,52,53]. In Fig.…”

Coulomb-Nuclear Interference: Theory and Practice for pp-Scattering at 13 TeV

“…Here 1 F 1 (iα, 1; z) is one of the confluent hyper geometric functions 20 (see Chapter 9.21 in [24]): At energies up to 13 TeV and q 2 = −t 0.05 GeV 2 the values of z = B(s)q 2 /2 if of order 0.5 or less. At such z the function Γ(1 + iα) 1 F 1 (iα, 1; z) is extremely close to 1 and is exhaustively approximated by the following expression…”

“…(4) -(5) which are of a general character 17. The importance of the t-dependence of the phase of the strong interaction amplitude was addressed in Refs [20],[10]…”

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].…”