Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV

Abstract

With analytical representation for the pp scattering amplitudes introduced and tested at lower energies, a description of high precision is given of the $d\sigma /dt$ data at $\sqrt{s}$= 13 TeV for all values of the momentum transfer, with explicit identification of the real and imaginary parts. In both $t$ and $b$ coordinates the amplitudes have terms identified as of non-perturbative and perturbative nature, with distinction of their influences in forward and large $|t|$ ranges and in central and peripheral regions respectively. In the forward range, the role of the Coulomb-nuclear interference phase is investigated. The energy dependence of the parameters of the amplitudes are reviewed and updated, revealing a possible emergence of a peculiar behavior of elastic and inelastic profiles in b-space for central collisions, which seems to be enhanced quickly at higher energies. Some other models are also briefly discussed in comparison, including the above mentioned behavior in b-space.

22 pages, 26 figures

References in corpus (7)

• Proton structure and hollowness from Lévy imaging of $pp$ elastic scattering
• Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
• Nonperturbative and Perturbative Aspects of Photo- and Electroproduction of Vector Mesons
• Nonperturbative and perturbative aspects of photo- and electroproduction of vector mesons
• The interplay of hadronic amplitudes and Coulomb phase in LHC measurements at 13 $\mathrm{TeV}$
• pp Interaction at Very High Energies in Cosmic Ray Experiments
• Applicability of a Representation for the Martin's Real-Part Formula in Model-Independent Analyses

Cited by in corpus (1)

• Energy dependence of proton-proton elastic scattering at large momentum transfer