DOI 10.1007/s100520000431
On dips, structures and eikonalization
P. Desgrolard1 - M. Giffon1 - E. Martynov2 - E. Predazzi3
1 Institut de Physique Nucléaire de Lyon, IN2P3-CNRS et
Université Claude Bernard, 43 boulevard du 11 novembre 1918,
69622 Villeurbanne Cedex, France
2 Bogoliubov Institute for Theoretical Physics, National
Academy of Sciences of Ukraine, Metrologicheskaja 14b, 03143, Kiev-143, Ukraine
3 Dipartimento di Fisica Teorica, Università di Torino
and Sezione INFN di Torino, Italy
Received: 20 January 2000 / Revised version: 28 February 2000 / Published online: 6 July 2000 - © Springer-Verlag 2000
Abstract
We have investigated several models of Pomeron and Odderon
contributions to high energy elastic pp and 
scattering.
The questions we address concern their role in this field, the
behavior of the scattering amplitude (or of the
total cross-section) at
high energy, and how to fit all high energy elastic data. The
data
are quite well reproduced by our approach at all momenta and
for
sufficiently high energies. The relative virtues of Born amplitudes
and of different kinds of eikonalizations are considered. An
important point in this respect is that secondary structures
are
predicted in the differential cross-sections at increasing energies
and these phenomena appear to be quite directly related to the
procedure of
eikonalizing the various Born amplitudes. We conclude that these
secondary structures arise naturally within the eikonalized procedure
(although their precise localization turns out to be model
dependent). The fitting procedure naturally predicts the appearance
of a zero at small |t| in the real part of the even amplitude
as
anticipated by general theorems. We would like to stress, once
again,
how important it would be to have at LHC both pp and 
options for
many questions connected to the general properties of high
energy hadronic physics
and for a check of our predictions.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
