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},
year = {1980},
volume = {43},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a6/}
}
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/
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