Abstract:
Elastic scattering processes in the region of large angles are considered in the framework of the generalized reaction matrix method. A power law decrease of the cross section is a consequence of the analytic properties of the amplitude. The angular dependence of the cross section is calculated.
Citation:
S. M. Troshin, N. E. Tyurin, “Analytic properties of the amplitude and behavior of the differential cross section in the region of large scattering angles”, TMF, 50:2 (1982), 230–239; Theoret. and Math. Phys., 50:2 (1982), 150–157
\Bibitem{TroTyu82}
\by S.~M.~Troshin, N.~E.~Tyurin
\paper Analytic properties of the~amplitude and behavior of the~differential cross section in the~region of large scattering angles
\jour TMF
\yr 1982
\vol 50
\issue 2
\pages 230--239
\mathnet{http://mi.mathnet.ru/tmf2105}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=662039}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 50
\issue 2
\pages 150--157
\crossref{https://doi.org/10.1007/BF01015295}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982PH72200005}
Linking options:
https://www.mathnet.ru/eng/tmf2105
https://www.mathnet.ru/eng/tmf/v50/i2/p230
This publication is cited in the following 7 articles:
S. M. Troshin, N. E. Tyurin, “Energy dependence of deep-elastic scattering”, Mod. Phys. Lett. A, 2025
S.M. Troshin, N.E. Tyurin, “Transition from the shadow to reflective scattering”, Physics Letters B, 855 (2024), 138871
Perfilov, MA, “Novel features in exclusive vector-meson production”, Physical Review D, 68:5 (2003), 056008
AVINASH KHARE, “AN EXACTLY SOLVABLE MANY-BODY PROBLEM IN ONE DIMENSION”, Int. J. Mod. Phys. B, 14:19n20 (2000), 2101
S.M Troshin, N.E Tyurin, “Unitarity bound for the single-helicity-flip amplitude in elastic pp-scattering”, Physics Letters B, 459:4 (1999), 641
S.M Troshin, “Extreme behaviour of g1(x, Q2) at x → 0”, Physics Letters B, 397:1-2 (1997), 133
N. I. Glushko, N. A. Kobylinskii, V. P. Shelest, “Continued unitarity and high-energy hadron scattering”, Theoret. and Math. Phys., 57:1 (1983), 960–966