Geodesic
Three-body problem in strong coupling theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 353-366 
S. V. Semenov. Three-body problem in strong coupling theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 353-366. http://geodesic.mathdoc.fr/item/TMF_1974_18_3_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Bogolyubov's method is used to study the problem of three bodies that interact strongly with a scalar field. An iterative scheme is constructed for finding the energy and wave function of the system and an equation of relative motion is obtained. The limiting case of this equation corresponding to the scattering problem is investigated.

[1] N. N. Bogolyubov, UMZh, 2 (1950), 3 ; Избранные труды, т. 2, «Наукова думка», 1970 | MR | MR | Zbl

[2] E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev, TMF, 10 (1972), 162

[3] E. P. Solodovnikova, A. N. Tavkhelidze, Doklad na sessii OYaF AN SSSR, Moskva, 1972

[4] A. A. Arkhipov, N. E. Tyurin, Preprint IFVE-72-37, Serpukhov, 1972 | MR

[5] Trudy seminara «Fundamental problems of the elementary particle theory», preprint ITF 70-99, Kiev, 1970