Abstract
The analytic behaviour in the complex angular momentum plane, of the amplitude for a vector meson coupled to a scalar « nucleon » through a conserved current is examined. The graph with the exchange of two vector mesons is considered. This graph is iterated in the vector meson channel (called s channel). The partial wave projection of the lowest order graph (4th order) has a simple pole atl = 1, which is obtained after an analytical continuation from higherl. When the singular part of the graph atl=1 is taken as the kernel of the Bethe-Salpeter equation it is found that fors ≠ 6μ2its solution has two simple moving poles in the neighbourhood ofl=1 in thel-plane. However, the Regge trajectory has two branches which intersect each other at the branch points = 6μ2.
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