Geodesic
Investigation by the functional method of the high-energy behavior of the “meson-nucleon” scattering amplitude in a scalar model
Teoretičeskaâ i matematičeskaâ fizika, Tome 14 (1973) no. 1, pp. 27-35 
B. M. Barbashov; V. V. Nesterenko. Investigation by the functional method of the high-energy behavior of the “meson-nucleon” scattering amplitude in a scalar model. Teoretičeskaâ i matematičeskaâ fizika, Tome 14 (1973) no. 1, pp. 27-35. http://geodesic.mathdoc.fr/item/TMF_1973_14_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The high-energy behavior of the “meson-nucleon” scattering amplitude in the scalar model $L_{\mathrm {int}}=g\psi^2\varphi$ is studied by functional integration. The sum of an infinite class of diagrams inwhich a “meson” interacts with a “nucleon” and goes over into a virtual “nucleon-antinucleon” pair state leads to a modified eikonal form of the scattering amplitude.

[1] I. F. Ginzburg, A. V. Efremov, V. G. Serbo, YaF, 9 (1969), 451 ; И. Ф. Гинзбург, В. Г. Сербо, ЯФ, 9 (1969), 868 ; В. М. Буднев, И. Ф. Гинзбург, В. Г. Сербо, ТМФ, 6 (1971), 55 | MR | MR

[2] R. J. Eden, P. V. Landshoff, D. I. Olive, J. C. Polkinghorne, The analytic $S$-matrix, Cambridge, 1966 | MR | Zbl

[3] V. M. Budnev, A. V. Efremov, I. F. Ginzburg, V. G. Serbo, Preprint E2-5509, JINR, 1970

[4] V. V. Sudakov, ZhETF, 30 (1956), 87 | MR | Zbl

[5] A. I. Akhiezer, V. B. Berestetskii, Kvantovaya elektrodinamika, «Nauka», 1969 | MR

[6] S. J. Chang, S. E. Ma, Phys. Rev., 180 (1969), 1506 | DOI

[7] H. Cheng, T. T. Wu, Phys. Rev., D1, 1069 ; (1970), 1082 | MR

[8] H. D. I. Abarbanel, C. Itzykson, Phys. Rev. Lett., 23 (1969), 53 ; Б. М. Барбашов, С. П. Кулешов, В. А. Матвеев, А. Н. Сисакян, ТМФ, 3 (1970), 342 | DOI | MR

[9] B. M. Barbashov, S. P. Kuleshov, V. A. Matveev, V. N. Pervushin, A. N. Sissakian, A. N. Tavkhelidze, Phys. Lett., 33B (1970), 484 | DOI

[10] G. Tiktopoulos, S. B. Treiman, Phys. Rev., D2 (1970), 805 ; Phys. Rev., D3 (1971), 1037; Б. М. Барбашов, В. В. Нестеренко, ТМФ, 4 (1970), 293 ; J. Muzinich, G. Tiktopoulos, S. B. Treiman, Phys. Rev., D3 (1971), 1041 | MR | Zbl

[11] B. M. Barbashov, S. P. Kuleshov, V. A. Matveev, V. N. Pervushin, A. N. Sisakyan, A. N. Tavkhelidze, TMF, 5 (1970), 330

[12] B. M. Barbashov, V. V. Nesterenko, TMF, 9 (1971), 343

[13] B. M. Barbashov, V. V. Nesterenko, TMF, 10 (1972), 196

[14] B. M. Barbashov, S. P. Kuleshov, V. A. Matveev, A. N. Sissakian, Preprint E2-4983, JINR, 1970

[15] C. B. Chiu, Rev. Mod. Phys., 41 (1969), 640 ; J. D. Jackson, Rev. Mod. Phys., 42 (1970), 12 | DOI | DOI | Zbl

[16] H. Cheng, T. T. Wu, Phys. Rev., 182 (1969), 1853; C. Lovelace, Preprint CERN TH 1381, 1971 | MR

[17] S. P. Kuleshov, V. A. Matveev, A. N. Sissakian, M. A. Smondyrev, Preprint E2-5897, JINR, 1971

[18] B. M. Barbashov, ZhETF, 48 (1965), 607 | MR | Zbl

[19] B. M. Barbashov, M. K. Volkov, ZhETF, 50 (1966), 660

[20] R. P. Feynman, Phys. Rev. Lett., 23 (1969), 1415 | DOI

[21] M. M. Islam, Nuovo Cim., 5A (1971), 315 | DOI