2020 Impact factor 4.590
Particles and Fields
Eur. Phys. J. C 14, 683-694
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

An extensive generalization of the ordinary and quasi-eikonal methods is presented for the pp and $\bar pp$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