Inverse problem in proton-proton elastic scattering in the impact parameter representations / Problema inverso do espalhamento elastico proton-proton na representacao de parametro de impacto

AUTOR(ES)

Geovanna Luiz Pereira da Silva

DATA DE PUBLICAÇÃO

2009

RESUMO

The Impact Parameter and Eikonal Representations are investigated by means of an empirical analysis of the experimental data on proton-proton elastic scattering, at the highest energy region with experimental information available (six data sets at center of mass energies 19.4 - 62.5 GeV). Making use of a novel model-independent parametrization for the scattering amplitude and data reductions (fits) to differential cross section data, we extract the profile function (real and imaginary parts), the inelastic overlap function and the eikonal function (real and imaginary parts) in the impact parameter space. By means of a semi-analytical method, the opacity function (imaginary part of the eikonal) is also extracted in the momentum transfer space. All the empirical results for these quantities are determined with the corresponding uncertainties, evaluated through error propagation from the free fit parameters (variances and covariances). In particular, it is shown that the inelastic overlap functions present a peripheral effect around 2.0 fm and that the empirical results for the opacity function can be analytically parametrized by three Gaussian components each one with leading contribution at small, intermediate and large values of the momentum transfer. Physical interpretations of the results are discussed (optical/geometrical and QCD-based aspects), as well as the applicability of the empirical results in the selection, construction and development of phenomenological models, mainly those based or inspired in QCD

ASSUNTO(S)

elastic scattering protons impact parameter protons parametro de impacto espalhamento elastico

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