Model-independent data reductions of elastic proton–proton scattering

Abstract

Abstract. New developments in empirical analyses of the proton-proton differential cross section data at high energies are reported. Making use of an unconstrained model-independent parametrization for the scattering amplitude and two different fit procedures, all the experimental data in the center-of-mass energy interval 19.4 -62.5 GeV are quite well described (optical point and data above the region of Coulombnuclear interference). The contributions from the real and imaginary parts of the amplitude beyond the forward direction are discussed and compared with the results from previous analyses and phenomenological models. Extracted overlap functions (impact parameter space) are outlined and a critical discussion on model-independent analyses and results are also presented.PACS. 13.85.Dz Elastic scattering -13.85.-t Hadron-induced high-energy interactions

Exploring central opacity and asymptotic scenarios in elastic hadron scattering

“…Still restricted to pp scattering at the ISR, but including data from the Fermilab at 27.4 GeV, several characteristics of the profile, inelastic and opacity function (in both impact parameter and momentum transfer space) have been extracted and discussed by Menon and collaborators in references [97][98][99][100][101][102]. The approach is characterized by analytical modelindependent parameterizations for the scattering amplitude and analytical propagation of the uncertainties from the fit parameters to all the extracted quantities.…”

Applicability of a Representation for the Martin's Real-Part Formula in Model-Independent Analyses

“…Since the fits are based on the differential cross sections, that demands sets with available data covering the largest intervals in momentum transfer, mainly in what concerns the region of high momentum transfer. As already discussed in some detail [6,9,12] this condition limits the analysis to six sets of pp elastic scattering data, at √ s = 19.4 GeV (from the Fermilab and CERN SPS) and √ s = 23.5, 30.7, 44.7, 52.8 and 62.5 GeV (from the CERN ISR). In addition, we make use of the empirical result that at the ISR energy region (23.5 -62.5 GeV) the differential cross section data above q 2 ∼ 4 GeV 2 do not depend on the energy [55][56][57][58].…”

“…In the context of our empirical analyses [6][7][8][9][10][11][12][13], the evaluation of the uncertainties in the extracted quantities plays a central role. Since the fits are based on the differential cross sections, that demands sets with available data covering the largest intervals in momentum transfer, mainly in what concerns the region of high momentum transfer.…”

“…As first steps in that direction, we have investigated the elastic scattering based only on some general principles, high-energy theorems and model-independent fits to the differential cross section data [6][7][8][9][10][11][12][13]. Since the impact parameter and the unitarized eikonal representations still constitutes a useful framework for model developments, the aims have been to extract empirical information on the overlap and eikonal functions (impact parameter and momentum transfer spaces).…”

“…In the context of our global investigation on the inverse problems in elastic hadron scattering [6,9] the focus here is only in the foundations, applicability and some consequences of the proposed representation. With this aim we shall only outline references and discussions related to results from previous analyses and phenomenological models.…”