Abstract
In the paper we study the Faddeev-Lovelace equations for the one-dimensional system of three particles interacting via zero-range potentials. The half-off-shell rearrangement and elastic amplitudes are constructed explicitly for the particular case of the model, namely for the system consisting of three particles with equal masses and with two-body potentials of equal strength. These exact amplitudes are shown to satisfy the modified form of the Faddeev-Lovelace equations.
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