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TMF, 1971, Volume 9, Number 1, Pages 3–43 (Mi tmf4429)  

This article is cited in 10 scientific papers (total in 10 papers)

Restrictions on the behavior of elastic and inelastic cross sections at high energies. I

A. A. Logunov, M. A. Mestvirishvili, O. A. Khrustalev


Abstract: Properties of the cross-sections of elastic and inelastic processes following from the general principles of quantum field theory are reviewed. By means of the unitarity and the Dyson representation the analiticity region in the $\cos\theta$-plane is established and the lower bound of the forward scattering amplitude decreasing is found.

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English version:
Theoretical and Mathematical Physics, 1971, 9:1, 939–967

Received: 11.03.1971

Citation: A. A. Logunov, M. A. Mestvirishvili, O. A. Khrustalev, “Restrictions on the behavior of elastic and inelastic cross sections at high energies. I”, TMF, 9:1 (1971), 3–43; Theoret. and Math. Phys., 9:1 (1971), 939–967

Citation in format AMSBIB
\Bibitem{LogMesKhr71}
\by A.~A.~Logunov, M.~A.~Mestvirishvili, O.~A.~Khrustalev
\paper Restrictions on the behavior of elastic and inelastic cross sections at high energies.~I
\jour TMF
\yr 1971
\vol 9
\issue 1
\pages 3--43
\mathnet{http://mi.mathnet.ru/tmf4429}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 9
\issue 1
\pages 939--967
\crossref{https://doi.org/10.1007/BF01036023}


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    Citing articles on Google Scholar: Russian citations, English citations
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    Cycle of papers

    This publication is cited in the following articles:
    1. N. N. Bogolyubov, V. S. Vladimirov, A. N. Tavkhelidze, “On scaling asymptotics in quantum field theory. I”, Theoret. and Math. Phys., 12:1 (1972), 619–629  mathnet  crossref  mathscinet
    2. N. E. Tyurin, O. A. Khrustalev, “Continuation of the scattering amplitude into the crossed channel in the case of increasing total cross sections”, Theoret. and Math. Phys., 24:3 (1975), 837–845  mathnet  crossref
    3. A. A. Logunov, M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, “Does the $u$ channel in the $t$ plane influence the behavior of the forward differential scattering cross section at high energies?”, Theoret. and Math. Phys., 28:2 (1976), 691–698  mathnet  crossref  mathscinet
    4. G. L. Rcheulishvili, A. P. Samokhin, “Influence of singularities of the amplitude on the behavior of the differential scattering cross section”, Theoret. and Math. Phys., 30:3 (1977), 205–212  mathnet  crossref  mathscinet
    5. A. A. Logunov, M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, “Can the weak interaction become strong ?”, Theoret. and Math. Phys., 36:2 (1978), 653–661  mathnet  crossref
    6. M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, “Influence of singularities in the $\cos\theta$ plane on the behavior of inclusive spectra at high energies”, Theoret. and Math. Phys., 41:1 (1979), 848–853  mathnet  crossref  isi
    7. A. A. Logunov, M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, “Singularities of the amplitude in the $\cos\theta$; plane and scattering at high energies”, Theoret. and Math. Phys., 39:2 (1979), 377–389  mathnet  crossref
    8. A. A. Logunov, M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, “Contribution from far singularities in the $\cos\theta$ plane to the scattering amplitude and to the distribution function of inclusive processes”, Theoret. and Math. Phys., 43:3 (1980), 469–480  mathnet  crossref  mathscinet  isi
    9. A. A. Arkhipov, V. I. Savrin, “Unitarity bound for three-particle scattering amplitude”, Theoret. and Math. Phys., 49:1 (1981), 847–862  mathnet  crossref  mathscinet  isi
    10. A. A. Arkhipov, “Unitarity bounds for multiparticle interaction amplitudes”, Theoret. and Math. Phys., 53:2 (1982), 1067–1084  mathnet  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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