Regular Article – Theoretical Physics
Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV
Instituto de Física, Universidade Federal do Rio de Janeiro, C.P. 68528, 21945-970, Rio de Janeiro, RJ, Brazil
2 Departamento de Engenharia Química, Centro de Tecnologia da Indústria Química e Têxtil, SENAI CETIQT, 20961-020, Rio de Janeiro, RJ, Brazil
3 Instituto de Física, Universidade Federal Fluminense, 24210-346, Niterói, RJ, Brazil
Accepted: 15 March 2021
Published online: 7 April 2021
With analytical representation for the pp scattering amplitudes introduced and tested at lower energies, a description of high precision is given of the data at 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.
© The Author(s) 2021
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