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TMF, 1979, Volume 39, Number 2, Pages 147–164 (Mi tmf2648)  

This article is cited in 1 scientific paper (total in 1 paper)

Singularities of the amplitude in the $\cos\theta$; plane and scattering at high energies

A. A. Logunov, M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin


Abstract: Unitarity and analyticity of the elastic scattering amplitude in the $\cos\theta$ plane are used to show that if $d\sigma/dt|_{t=0}\geqslantconst/s^{2-\varepsilon}$ $(\varepsilon>0)$ at high energies then the contribution to the differential cross section of forward elastic scattering from the left-hand “$u$-channel” singularities of the amplitude is negligibly small.

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English version:
Theoretical and Mathematical Physics, 1979, 39:2, 377–389

Received: 28.07.1978

Citation: 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”, TMF, 39:2 (1979), 147–164; Theoret. and Math. Phys., 39:2 (1979), 377–389

Citation in format AMSBIB
\Bibitem{LogMesRch79}
\by A.~A.~Logunov, M.~A.~Mestvirishvili, G.~L.~Rcheulishvili, A.~P.~Samokhin
\paper Singularities of the amplitude in the~$\cos\theta$; plane and scattering at high energies
\jour TMF
\yr 1979
\vol 39
\issue 2
\pages 147--164
\mathnet{http://mi.mathnet.ru/tmf2648}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 39
\issue 2
\pages 377--389
\crossref{https://doi.org/10.1007/BF01014913}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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