A proposal for numeric parametrization of the scattering experimental data.

Antonio Braz de Pádua, José Bellandi Filho, Roberto José Maria Covolan, Luiz Martins Mundim Filho

Abstract


We propose a numerical fit method for the elastic differential cross section data of pp and pp in energy ranges of 10<?s ? 53 GeV and of 10 < ?s ? 546 GeV respectively. Firstly, we adapted the data by assuming a purely imaginary elastic amplitude and expressing it as a sum of the exponentials on the fitted momentum transfer -t. Secondly, we incorporated the contribution of the real part of the elastic amplitude by means of the Martin's Formula. Our results showed, on the whole, a good agreement with the data including those ones in the dip region. This parametrization may he used in future works as the starting point for calculations, from a model independent way, of important physical quantities as eikonal, overlap functions, interaction radius and so on.


Keywords


Elastíc Scattering, High Energies, Antiproton, Proton, Scattering Amplitude, Elastic Differential Cross Section, Numerical Fit e Martin 's Formula.



DOI: http://dx.doi.org/10.5433/1679-0375.1991v12n4p248

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