Abstract
A simple application of Regge theory, with 9 free parameters, provides a good fit to elastic scattering data at small t from 13.76 GeV to 13 TeV. It yields a value for ρ, the ratio of the real part of the hadronic contribution to the forward amplitude to its imaginary part, close to 0.14 at 13 TeV. Although the exact value obtained for ρ is sensitive to what functional form is chosen for the fit, there is no strong case for the presence of an odderon contribution to forward scattering.
Highlights
There are two approaches to the extraction of the phase of the forward elastic scattering amplitude from the data
This gives the the hadronic amplitude up to an unknown phase, which is determined by the data because the Coulomb peak at very small t is sensitive to the interference between the hadronic and Coulomb terms
This approach ignores information linking the phase of the amplitude to its variation with energy, so instead we assume that the hadronic amplitude is described by Regge theory and determine the unknown parameters in it from data beyond the Coulomb peak at a wide range of energies
Summary
There are two approaches to the extraction of the phase of the forward elastic scattering amplitude from the data. This gives the the hadronic amplitude up to an unknown phase, which is determined by the data because the Coulomb peak at very small t is sensitive to the interference between the hadronic and Coulomb terms. This approach ignores information linking the phase of the amplitude to its variation with energy, so instead we assume that the hadronic amplitude is described by Regge theory and determine the unknown parameters in it from data beyond the Coulomb peak at a wide range of energies.
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