Analytic structure of the $3\to3$ forward amplitude
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 2, pp. 179-193 Cet article a éte moissonné depuis la source Math-Net.Ru

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The analytic properties of the $3\to3$ forward amplitude established in the framework of Bogolyubov's axiomatic method are described. The amplitudes of the different channels of the process are the boundary values of a single analytic function of the invariant variables. Crossing symmetry of the amplitude is proved. The absorptive part of the amplitude is analyzed and a generalized optical theorem proved, this relating one of the contributions to the absorptive part to the distribution function of the inclusive process.
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     title = {Analytic structure of the~$3\to3$ forward amplitude},
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A. A. Logunov; B. V. Medvedev; L. M. Muzafarov; V. P. Pavlov; M. K. Polivanov; A. D. Sukhanov. Analytic structure of the $3\to3$ forward amplitude. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 2, pp. 179-193. http://geodesic.mathdoc.fr/item/TMF_1979_40_2_a2/

[1] N. N. Bogolyubov, Doklad na konferentsii v Sietle, 1956

[2] N. N. Bogolyubov, B. V. Medvedev, M. K. Polivanov, Voprosy teorii dispersionnykh sootnoshenii, Fizmatgiz, 1958 | MR

[3] A. H. Mueller, Phys. Rev., D2 (1970), 2963

[4] O. A. Kancheli, Doktorskaya dissertatsiya, ITEF, 1972

[5] V. A. Matveev, R. M. Muradyan, A. N. Tavkhelidze, EChAYa, 2:1 (1971), 3

[6] A. A. Logunov, M. A. Mestvirishvili, Nguen Van Hieu, Phys. Lett., 25B (1967), 611 | DOI

[7] A. A. Logunov, M. A. Mestvirishvili, B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, TMF, 33 (1977), 149 | MR

[8] V. P. Pavlov, TMF, 35 (1978), 3

[9] V. P. Pavlov, TMF, 37 (1978), 154 | MR

[10] L. M. Muzafarov, V. P. Pavlov, TMF, 35 (1978), 151

[11] L. M. Muzafarov, TMF, 35 (1978), 291

[12] L. M. Muzafarov, TMF, 38 (1979), 36 | MR

[13] A. A. Logunov, DAN SSSR, 120 (1958), 501 ; Н. Н. Боголюбов, А. А. Логунов, И. Т. Тодоров, Основы аксиоматического подхода в квантовой теории поля, «Наука», 1969 | Zbl | MR | Zbl

[14] D. Ruelle, Nuovo Cim., 19 (1961), 356 | DOI | MR | Zbl

[15] H. Epstein, Brandeis Lectures, 1965, NY, 1965

[16] J. Bros, H. Epstein, V. Glaser, Nuovo Cim., 31 (1964), 1265 ; Commun. Math. Phys., 1 (1965), 240 | DOI | MR | Zbl | DOI | MR

[17] D. Hall, A. S. Wightman, Mat. Fys. Med. Kon. Dan. Vid. Selskab., 31:5 (1957) | MR

[18] N. N. Bogolyubov, V. S. Vladimirov, Izv. AN SSSR, ser. matem., 22 (1958), 15 | MR | Zbl