DOI 10.1007/s100520000372
Eikonalization and unitarity constraints
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, NAS of Ukraine, Metrologicheskaja 14b,
03143, Kiev-143, Ukraine
3 Dipartimento di Fisica Teorica, Università di
Torino and Sezione INFN di Torino,
Italy
Received: 3 September 1999 / Revised version: 21 February 2000 /
Published online: 8 May 2000
- © Springer-Verlag 2000
Abstract
An extensive generalization of the ordinary and
quasi-eikonal methods is presented for the pp and 
elastic scattering amplitudes, which takes into account in a
phenomenological way all intermediate multiparticle states
involving the crossing even and crossing odd combinations of
Reggeons. The formalism in this version involves a maximum of
three parameters corresponding to the intermediate states which
are possible in this configuration. The unitarity restriction
is
investigated and particular cases are discussed. An interesting
result that emerges concerns the Odderon trajectory intercept:
we
find that unitarity dictates that this quantity must be
below or equal unity unless a very peculiar equality exists between the
coupling of the particles to the Pomeron and the Odderon.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
