Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-12-20
Eur.Phys.J.C54:555-576,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
Two references and some misprints corrected, 22 pages; final version to be published in Eur.Phys. J. C (2008)
Scientific paper
10.1140/epjc/s10052-008-0542-5
By means of improved empirical fits to the differential cross section data on $pp$ elastic scattering at $19.4 \le\sqrt{s}\le 62.5$ GeV and making use of a semi-analytical method, we determine the eikonal in the momentum transfer space (the inverse scattering problem). This method allows 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 $q^2 \approx 7 \pm 1$ GeV$^2$. 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 special the Wu-Yang conjecture. In addition, we present a critical review on the $pp$ differential cross section data presently available at high energies.
Avila Regina F.
Menon Marcio J.
No associations
LandOfFree
Eikonal zeros in the momentum transfer space from proton-proton scattering: An empirical analysis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Eikonal zeros in the momentum transfer space from proton-proton scattering: An empirical analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Eikonal zeros in the momentum transfer space from proton-proton scattering: An empirical analysis will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-3001