Geodesic
Analytic properties of the scattering amplitude in strong coupling theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 207-212 
S. V. Semenov; O. D. Timofeevskaya; N. E. Tyurin. Analytic properties of the scattering amplitude in strong coupling theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 207-212. http://geodesic.mathdoc.fr/item/TMF_1974_21_2_a5/
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     title = {Analytic properties of the scattering amplitude in strong coupling theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_2_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A system of two nonrelativistic particles and a quantized scalar field is considered. Under the assumption that the particles are strongly coupled to the field, the interaction potential between the particles (5) is smooth and a Yukawa one as $r\to\infty$. The analytic properties of the scattering amplitude are studied and the amplitude is estimated for momentum transfers that are small compared with the energy.

[1] E. P. Solodovnikova, A. N. Tavkhelidze, TMF, 17 (1973), 257

[2] A. A. Arkhipov, N. E. Tyurin, Preprint IFVE 72-31, Serpukhov, 1972

[3] S. P. Alliluev, S. S. Gerstein, A. A. Logunov, Phys. Lett., 18 (1965), 195 | DOI

[4] V. de Alfaro, T. Redzhe, Potentsialnoe rasseyanie, «Mir», 1966 | Zbl

[5] O. A. Khrustalev, V. I. Savrin, N. E. Tyurin, Preprint E2-4479, JINR, 1969