12 research outputs found
The Pomeron and Odderon in elastic, inelastic and total cross sections at the LHC
A simple model for elastic diffractive hadron scattering, reproducing the
dip-bump structure is used to analyze PP and scattering. The main
emphasis is on the delicate and non-trivial dynamics in the dip-bump region,
near t=-1 GeV. The simplicity of the model and the expected smallness of
the absorption corrections enables one the control of various contributions to
the scattering amplitude, in particular the interplay between the C-even and
C-odd components of the amplitude, as well as their relative contribution,
changing with s and t. The role of the non-linearity of the Regge trajectories
is scrutinized. The ratio of the real to imaginary parts of the forward
amplitude, the ratio of elastic to total cross sections and the inelastic cross
section are calculated. Predictions for the LHC energy region, where most of
the exiting models will be either confirmed or ruled out, are presented.Comment: 16 pages, 13 figures. Small correction. To be published in the
International Journal of Modern Physics
The soft and the hard pomerons in hadron elastic scattering at small t
We consider simple-pole descriptions of soft elastic scattering for pp, pbar
p, pi+ p, pi- p, K+ p and K- p. We work at t and s small enough for
rescatterings to be neglected, and allow for the presence of a hard pomeron.
After building and discussing an exhaustive dataset, we show that simple poles
provide an excellent description of the data in the region - 0.5 GeV^2 < t <
-0.1 GeV^2, 6 GeV<sqrt(s)< 63 GeV. We show that new form factors have to be
used, and get information on the trajectories of the soft and hard pomerons.Comment: 27 pages, 9 figures, LaTeX. A few typos fixed, and references
correcte
Local nuclear slope and curvature in high energy and elastic scattering
The local nuclear slope is reconstructed from the experimental angular distributions with a procedure that uses overlapping -bins, for an energy that ranges from the ISR to the and the Tevatron. Predictions of several models of () and () elastic scattering at high energy are tested in at small . Only a model with two-components Pomeron and Odderon gives a satisfactory agreement with the (non fitted) slope data, in particular for the evolution of with as a function of in scattering. This model predicts a similar behavior for and scattering at small . A detailed confirmation for collisions would be expected from RHIC