Abstract
A factorization is proposed in this article of a two-particle t-matrix for the problem of three bodies, the scattering phase and the half-mass amplitude being described exactly for any approximation order. The uniform convergence of the approximation process is also proved.
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L. D. Faddeev, Zh. Experim. i Teor. Fiz.,39, 1459 (1960).
V. N. Efimov, Comptes Rend, du Congr. Internat, de Physique Nucl., Vol. 7, Paris (1964), p. 258. Preprint P-2890, OIYaI (1960).
L. D. Faddeev, Contr. to 5-th Internat. Conf. on Physics of Electron and Atomic Collisions, Nauka (1967); A. G. Sitenko, V. F. Kharchenko, and N. M. Petrov, Phys. Lett.,28B, 308 (1968); J. S. Ball and D. Y. Wong, Phys. Rev.,169, 1362 (1968).
V. B. Belyaev and E. Wrzecionko, Preprint P4-4144, OIYaI (1968).
V. B. Belyaevand A. L. Zubarev, Yad. Fiz.,14, 545 (1971).
V. B. Belyaevand A. L. Zubarev, Fiz.,3, 77 (1971).
I. V. Kantorovich and V. I. Krylov, Approximation Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow (1962).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 37–40, June, 1974.
In conclusion the author would like to express his thanks to V. B. Belyaev for the interest he has shown in this work.
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Zubarev, A.L., Firsov, V.I. Separability of a two-particle t-matrix in the case of the three-body problem. Soviet Physics Journal 17, 778–781 (1974). https://doi.org/10.1007/BF00890208
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DOI: https://doi.org/10.1007/BF00890208