Integral equations for three particles in the boundary condition model
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 1, pp. 75-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Faddeev equations in a model with the two-particle boundary conditions are reformulated in order to remove the characteristic singularities of the model. The equations are reduced to a set of one-dimensional integral equations the kernel of which is defined by another independent set of one-dimensional integral equations. The equations obtained for three-particle system with the pair interaction in a finite number of partial states determines the three-particle wave function uniquely.
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V. E. Kuz'michev; V. F. Kharchenko. Integral equations for three particles in the boundary condition model. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 1, pp. 75-88. http://geodesic.mathdoc.fr/item/TMF_1977_31_1_a7/

[1] G. Breit, W. G. Bouricius, Phys. Rev., 75 (1949), 1029 ; H. Feshbach, E. Lomon, Phys. Rev., 102 (1956), 891 ; H. Feshbach, E. Lomon, A. Tubis, Phys. Rev. Lett., 6 (1961), 635 | DOI | MR | Zbl | DOI | DOI

[2] K. E. Lassila, M. H. Hull, H. M. Ruppel, F. A. McDonald, G. Breit, Phys. Rev., 126 (1962), 881 | DOI

[3] V. Efimov, YaF, 10 (1969), 107

[4] D. D. Brayshaw, Phys. Rev. Lett., 26 (1971), 659 | DOI | MR

[5] L. D. Faddeev, Problemy sovremennoi yadernoi fiziki, sbornik dokladov na Vtorom problemnom simpoziume po fizike yadra (Novosibirsk, 12–19 iyunya 1970), «Nauka», 1971, 5

[6] L. D. Faddeev, Metod integralnykh uravnenii v teorii rasseyaniya dlya trekh i bolee chastits, MIFI, 1971

[7] D. D. Brayshaw, Phys. Rev., D7 (1973), 1835

[8] D. D. Brayshaw, Phys. Rev., D8 (1973), 952

[9] D. D. Brayshaw, Phys. Rev., D8 (1973), 2572

[10] V. N. Efimov, Preprint OIYaI P4-8580, 1975; Препринт ОИЯИ P4-8707, 1975; Препринт ОИЯИ P4-9213, 1975; Препринт ОИЯИ P4-9475, Дубна, 1976

[11] V. N. Efimov, Preprint OIYaI, R4-6708, Dubna, 1972

[12] V. E. Kuzmichev, V. F. Kharchenko, Preprint ITP-75-109E, Kiev, 1975

[13] L. Shiff, Kvantovaya mekhanika, IL, 1957, gl. IV, § 15

[14] Y. E. Kim, A. Tubis, Phys. Rev., C1 (1970), 414

[15] D. D. Brayshaw, Phys. Rev., C3 (1971), 35

[16] G. V. Skornyakov, K. A. Ter-Martirosyan, ZhETF, 31 (1956), 775 | Zbl