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TMF, 1977, Volume 30, Number 3, Pages 322–332 (Mi tmf2798)  

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

Influence of singularities of the amplitude on the behavior of the differential scattering cross section

G. L. Rcheulishvili, A. P. Samokhin


Abstract: Using the unitarity condition and analytical properties of the amplitude in the $z=\cos\vartheta$ variable, it is shown that the main contribution in the elastic scattering into the forward and the backward light cone at high energy is due to the parts of the amplitude which are determined by singularities in the right and left semi-planes of the $z$-plane, respectively.

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English version:
Theoretical and Mathematical Physics, 1977, 30:3, 205–212

Bibliographic databases:

Received: 12.07.1976

Citation: G. L. Rcheulishvili, A. P. Samokhin, “Influence of singularities of the amplitude on the behavior of the differential scattering cross section”, TMF, 30:3 (1977), 322–332; Theoret. and Math. Phys., 30:3 (1977), 205–212

Citation in format AMSBIB
\Bibitem{RchSam77}
\by G.~L.~Rcheulishvili, A.~P.~Samokhin
\paper Influence of singularities of the amplitude on the behavior of the differential scattering cross section
\jour TMF
\yr 1977
\vol 30
\issue 3
\pages 322--332
\mathnet{http://mi.mathnet.ru/tmf2798}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=452223}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 30
\issue 3
\pages 205--212
\crossref{https://doi.org/10.1007/BF01036712}


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  • http://mi.mathnet.ru/eng/tmf/v30/i3/p322

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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. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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