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We start from a field-theoretical model of zero range approximation to derivethree-dimensional relativistic two- and three-body equations on a null plane.We generalize those equations to finite range interactions. We propose athree-body null-plane equation whose form is different from the one presentedearlier in the framework of light-cone dynamics. We discuss the choices of thekernels in two- and three-body cases and apply our model to the description ofmeson and baryon Regge trajectories. Our approach overcomes some theoreticaland phenomenological difficulties met in preceding relativized treatments ofthe three-body problem.Comment: 35 pages LaTex, 6 figs (available from disalvo@vaxgea.ge.infn.it

Relativistic three-dimensional two- and three-body equations on a null plane and applications to meson and baryon Regge trajectories