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

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 root 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 vertical bar t vertical bar 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.

Automated summary

This study introduces an analytical representation of the pp scattering amplitudes and provides a high precision description of the d sigma/dt data at 13 TeV energy, investigating the real and imaginary parts of the amplitudes and their influences in different regions. The energy dependence of the parameters of the amplitudes are reviewed and updated, revealing a possible emergence of peculiar behaviors in b-space for central collisions at higher energies. Other models are briefly discussed for comparison.