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Eikonal zeros in the momentum transfer space from proton–proton scattering: an empirical analysis

Regular Article - Theoretical Physics

Abstract

By means of improved empirical fits to the differential cross section data on pp elastic scattering at \(19.4 \le\sqrt{s}\le62.5GeV\) and making use of a semi-analytical method, we determine the eikonal in the momentum transfer space (the inverse scattering problem). This method allows for the propagation of the uncertainties from the fit parameters up to the extracted eikonal, providing statistical evidence that the imaginary part of the eikonal (real part of the opacity function) presents a zero (change of signal) in the momentum space, at q2≈7±1 GeV2. We discuss the implication of this change of signal in the phenomenological context, showing that eikonal models with one zero provide good descriptions of the differential cross sections in the full momentum transfer range, but that is not the case for models without zero. Empirical connections between the extracted eikonal and results from a recent global analysis on the proton electric form factor are also discussed, in particular the Wu–Yang conjecture. In addition, we present a critical review on the pp differential cross section data presently available at high energies.

Keywords

Form Factor Momentum Transfer Inverse Scattering Problem Large Momentum Transfer Mentum Transfer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.Instituto de Matematica, Estatística e Computação CientíficaUniversidade Estadual de CampinasCampinasBrazil
  2. 2.Instituto de Física Gleb WataghinUniversidade Estadual de CampinasCampinasBrazil

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