RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


TMF, 1980, Volume 43, Number 3, Pages 291–308 (Mi tmf3227)  

Contribution from far singularities in the $\cos\theta$ plane to the scattering amplitude and to the distribution function of inclusive processes

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


Abstract: Using the imitarity condition, polynomial boundedness with respect to energy and analyticity of the amplitude $F(s,z)$ in the $z=\cos\theta$-plane in a certain fixed complex neighbourhood of the physical points $-1<z<1$, it is shown that if the high-energy asymptotics of the amplitude is such that $|F(s,1)|\geqslant c(\ln s)^{2+\varepsilon}$, then such behaviour of the amplitude is completely determined by the nearest to the point $z=1$ singularity of the amplitude. The similar results are obtained for the spectrum of one-particle inclusive process integrated over the momentum values. It is also shown that if the absorptive part of the elastic scattering amplitude is analytic in a certain bounded region of the $z$-plane with cuts along the real axis and $\sigma_{\mathrm {tot}}(s)>(\ln s)^{-1}$ then the discontinuity of the amplitude on the right-hand side cut is a sign-changing function of $z$.

Full text: PDF file (2052 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1980, 43:3, 469–480

Bibliographic databases:

Received: 14.05.1979

Citation: 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”, TMF, 43:3 (1980), 291–308; Theoret. and Math. Phys., 43:3 (1980), 469–480

Citation in format AMSBIB
\Bibitem{LogMesRch80}
\by A.~A.~Logunov, M.~A.~Mestvirishvili, G.~L.~Rcheulishvili, A.~P.~Samokhin
\paper Contribution from far singularities in~the $\cos\theta$ plane to~the scattering amplitude and to~the distribution function of~inclusive processes
\jour TMF
\yr 1980
\vol 43
\issue 3
\pages 291--308
\mathnet{http://mi.mathnet.ru/tmf3227}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=580409}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 43
\issue 3
\pages 469--480
\crossref{https://doi.org/10.1007/BF01029120}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1980KW98800001}


Linking options:
  • http://mi.mathnet.ru/eng/tmf3227
  • http://mi.mathnet.ru/eng/tmf/v43/i3/p291

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:268
    Full text:88
    References:53
    First page:4

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020