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A phenomenological analysis on the proton-proton elastic scattering at the LHC energy region

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Author(s):
Paulo Victor Recchia Gomes da Silva
Total Authors: 1
Document type: Master's Dissertation
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin
Defense date:
Examining board members:
Márcio José Menon; Adriano Antonio Natale; Arlene Cristina Aguilar
Advisor: Márcio José Menon
Abstract

The Quantum Chromodynamics (QCD) has been recognized as the quantum field theory of the strong interactions. However, QCD is not yet able to provide a formal description of the high-energy elastic hadron scattering from its _rst principles. As a consequence, the theoretical investigation of these processes still has a strictly phenomenological character, constituting, therefore, an open problem for QCD. New experimental data on proton-proton elastic and di_ractive scattering, recently obtained by the TOTEM Collaboration at 7 and 8 TeV (LHC/CERN), have allowed important tests on different phenomenological predictions and have also provided new challenges for the QCD. Of interest here, we mention that the rise of the total cross section with the energy, stot(s), a quantity related to the elastic scattering through the optical theorem, can not be accessed by QCD without model assumptions; moreover, predictions from representative phenomenological models for the differential cross section at intermediate and large values of the momentum transfer present no agreement with the experimental data recently obtained at 7 TeV. These two aspects, related to the total and differential cross sections, constitute the central subject of this thesis and are treated here through two independent studies. In the first study, an analysis on the rise of stot(s) from proton-proton (pp) e antiproton-proton (pp) scattering is presented. We consider different analytic parametrizations and fits to the experimental data above 5 GeV (including the recent measurements at 7 and 8 TeV). The results indicate consistent solutions with a rise of stot(s) faster than the log-squared bound predicted by Froissart and Martin. This behavior, according to recent formal results by Ya. Azimov, does not necessarily mean violation of unitarity. Extensions of the parametrizations to _t the elastic (integrated) cross section data, sel, lead to asymptotic values for the ratio sel=stot below the limit 1/2 of the black-disc. In the second study, an empirical analysis on the applicability of the Tsallis distribution in the description of the pp di_erential cross section data at intermediate and large values of the momentum transfer and energy interval 19.4 GeV - 7 TeV is presented. The results show consistence with all the experimental data investigated. At 7 TeV, extrapolation of the _t result to large values of the momentum transfer indicates a monotonic decrease of the di_erential cross section (without oscillation), a result also in contrast with the black-disc as an asymptotic scenario (AU)

FAPESP's process: 11/15016-4 - A Phenomenological Analysis on the Proton-Proton Elastic Scattering at the LHC Energy Region
Grantee:Paulo Victor Recchia Gomes da Silva
Support Opportunities: Scholarships in Brazil - Master