One-dimensional model of the rearrangement process and the Faddeev equations

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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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