Eikonalization and unitarity constraints

An extensive generalization of the ordinary and quasi-eikonal methods is pr esented for the pp and (p) over bar p elastic scattering amplitudes; which takes into account in a phenomenological way all intermediate multiparticle states involving the crossing even and crossing odd combinations of Reggeo ns. The formalism in this version involves a maximum of three parameters co rresponding to the intermediate states which are possible in this configura tion. The unitarity restriction is investigated and particular cases are di scussed. An interesting result that emerges concerns the Odderon trajectory intercept: we find that unitarity dictates that this quantity must be belo w or equal unity unless a very peculiar equality exists between the couplin g of the particles to the Pomeron and the Odderon.