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The Bethe-Salpeter equation for three scalar bosons, with zero-range interaction, has been solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities appearing in the propagators were handled by standard analytical and numerical methods, without using any ansatz for the Bethe-Salpeter amplitude. Some of the results for the binding energies and transverse amplitudes are discussed here, and also compared with the corresponding results calculated in Euclidean space. A reasonable agreement between the calculations has been obtained.

Studies of three-body bound states with zero-range interaction in Minkowski space