Geodesic
Quasipotential in the fourth order of perturbation theory and infrared singularities
Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 2, pp. 228-237 
N. A. Boikova; V. V. Dvoeglazov; Yu. N. Tyukhtyaev; R. N. Faustov. Quasipotential in the fourth order of perturbation theory and infrared singularities. Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 2, pp. 228-237. http://geodesic.mathdoc.fr/item/TMF_1991_89_2_a6/
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     author = {N. A. Boikova and V. V. Dvoeglazov and Yu. N. Tyukhtyaev and R. N. Faustov},
     title = {Quasipotential in the fourth order of perturbation theory and infrared singularities},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {228--237},
     year = {1991},
     volume = {89},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_89_2_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The effects of binding on the calculation of the corrections to the hyperfine splitting of the ground level of muonium and positronium are investigated. Particular attention is devoted to the problem of the canceling of the anomalously large contributions due to the behavior of the quasipotential in the infrared region. The advantages of the first form of the quasipotential approach, using the two-time Green's function, are analyzed. The quasipotential for the interaction of two particles of equal masses in the fourth order of perturbation theory is presented.

[1] Westbrook C. I. et al., Phys. Rev. Lett., 58:13 (1987), 1328–1331 | DOI

[2] Caswell W. E., Lepage G. P., Phys. Rev. A, 20:1 (1979), 36–43 | DOI

[3] Adkins G. S., Ann..Phys. (N. Y.), 146:1 (1983), 78–128 | DOI

[4] Hill A., Ortolani F., Remiddi E., The Hydrogen Atom, eds. Bassani G. F. et al., Springer-Verlag, Berlin–Heidelberg, 1989, 240–246 | DOI

[5] Harris I., Brown L. M., Phys. Rev., 105:5 (1967), 1656–1661 | DOI

[6] Logunov A. A., Tavkhelidze A. N., Nuovo Cim., 29:2 (1963), 380–399 | DOI | MR

[7] Nguyen Van Hieu, Faustov R. N., Nucl. Phys., 53:2 (1964), 337–344 | MR

[8] Bethe H. A., Salpeter E. E., Phys. Rev., 84:6 (1951), 1232–1242 | DOI | MR | Zbl

[9] Faustov R. N., Nucl. Phys., 75:3 (1966), 669–681 | DOI

[10] Kadyshevsky V. G., Nucl. Phys., B6:2 (1968), 125–148 | DOI

[11] Levchenko N. A. i dr., Analiz logarifmicheskogo vklada $\sim\alpha^6\ln\alpha$ ot diagramm odnofotonnogo obmena v pozitronii, Soobschenie OIYaI No R2-12355, OIYaI, Dubna, 1979

[12] Boikov A. A., Boikova N. A., Prikladnye zadachi fiz. mikro- i makrosistem, Dep. v VINITI 12.XI.1984. No 7221-84 dep., Saratov, 1984, S. 16–29.

[13] Tyukhtyaev Yu. N., Diss. na soiskanie uch. stepeni d-ra fiz.-mat. nauk, M., 1985, S. 90–93.

[14] Kapshai V. N., Savrin V. I., Skachkov N. B., TMF, 69:3 (1986), 400–410 | MR

[15] Arkhipov A. A., Priblizhenie odnoglyuonnogo obmena dlya kvazipotentsiala vzaimodeistviya dvukh kvarkov v kvantovoi khromodinamike, Preprint IFVE No 88-148 OTF, IFVE, Serpukhov, 1988 | MR

[16] Kikot V. I., Linkevich A. D., Skachkov N. B., Relyativistskii kvazipotentsial odnoglyuonnogo obmena s beguschei konstantoi svyazi, Soobschenie OIYaI No R2-89-435, OIYaI, Dubna, 1989

[17] Arbuzov B. A. i dr., Relyativistskii kulonovskii kvazipotentsial i novye uzkie rezonansy v sistemakh zaryazhennykh chastits, Preprint NIIYaF MGU No 89-1/78, MGU, M., 1989

[18] Cowan T. et al., Phys. Rev. Lett., 54:16 (1985), 1761–1764 ; 56:5 (1986), 444–447 | DOI | DOI

[19] Troyan Yu. A. i dr., Uzkie diprotonnye rezonansy v $np\to pp\pi^-$ reaktsii, Preprint OIYaI No D1-88-329, OIYaI, Dubna, 1988; Поиск узких дипротонных резонансов в реакциях $np\to pp\pi^-$ и $np\to pp\pi^-\pi^0$ при $P_n=1,43$; $1,72$; $2,23$ ГэВ/с и $3,83$ ГэВ/с, Препринт ОИЯИ No Р1-90-73, ОИЯИ, Дубна, 1990

[20] Fulton T., Owen D. A., Repko W. W., Phys. Rev. A, 4:5 (1971), 1802–1811 | DOI

[21] Faustov R. N., Kvazipotentsialnyi metod v zadache ob urovnyakh energii pozitroniya, Preprint OIYaI No R-1572, OIYaI, Dubna, 1964 | MR

[22] Boikova N. A., Tyukhtyaev Yu. N., Faustov R. N., Raschet popravok poryadka $\alpha^6\ln\alpha$ v sverkhtonkoe rasscheplenie osnovnogo urovnya pozitroniya ot diagramm pryamogo kanala, Soobschenie OIYaI No R2-81-582, OIYaI, Dubna, 1981