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

TL;DR

This paper presents an analytical model for proton-proton elastic scattering amplitudes at 13 TeV, accurately describing differential cross sections and distinguishing non-perturbative and perturbative contributions across momentum transfer ranges.

Contribution

It introduces a comprehensive analytical representation of scattering amplitudes at high energy, explicitly separating real and imaginary parts and analyzing their impact on cross sections and profiles.

Findings

Accurate description of $d\sigma/dt$ at 13 TeV across all momentum transfers.

Identification of non-perturbative and perturbative amplitude components.

Observation of peculiar behavior in elastic and inelastic profiles at high energies.

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.