Convergence of the Born series in the three-particle scattering problem at high energies

In contrast to the well-known assertion [1] that the Born series for the three-particle scattering with rearrangement is divergent at all energies, we prove the convergence of the Born series for the three-particle Lippmann–Schwinger equation at sufficiently high energies of colliding systems. The value of energy, above which the series under consideration becomes convergent, is estimated.