Geodesic
Convergence of~the Born series in~the three-particle scattering problem at~high energies
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 1, pp. 65-77

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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. 
@article{TMF_1980_43_1_a6,
     author = {V. S. Potapov},
     title = {Convergence of~the {Born} series in~the three-particle scattering problem at~high energies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {65--77},
     publisher = {mathdoc},
     volume = {43},
     number = {1},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a6/}
}
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V. S. Potapov. Convergence of~the Born series in~the three-particle scattering problem at~high energies. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 1, pp. 65-77. http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a6/