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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 89, Number 3, Pages 420–437 (Mi tmf5907)  

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

Effects of particle structure in the three-body problem

A. N. Safronov
References:
Abstract: A study is made of an exactly solvable manifestly relativistically invariant model of three particles (hadrons, nuclei) that possess internal structure. The model takes into account not only a potential interaction but also a mechanism associated with the formation of compound systems (of the type of composite quark-gluon bags) in intermediate states. The scattering problem in the system is solved by a method based on introducing a dependence of the state vectors and scattering operators in the three-body space on an additional external parameter. By an analysis of the conditions of two- and three-particle unitarity it is shown that the effects of particle structure due to coupling of three-body (hadronic) and hadron-bag configurations leads to the appearance of certain factors in the cross sections for 22 and 23 processes. These factors can be expressed in terms of the mean values of the derivatives of the operators of the effective interactions in the three-body space with respect to the invariant masses of the two-body subsystems. Bounds on these factors that follow from the Hermiticity of the mass operator of the system are obtained.
Received: 05.03.1991
English version:
Theoretical and Mathematical Physics, 1991, Volume 89, Issue 3, Pages 1310–1323
DOI: https://doi.org/10.1007/BF01017827
Bibliographic databases:
Language: Russian
Citation: A. N. Safronov, “Effects of particle structure in the three-body problem”, TMF, 89:3 (1991), 420–437; Theoret. and Math. Phys., 89:3 (1991), 1310–1323
Citation in format AMSBIB
\Bibitem{Saf91}
\by A.~N.~Safronov
\paper Effects of particle structure in the three-body problem
\jour TMF
\yr 1991
\vol 89
\issue 3
\pages 420--437
\mathnet{http://mi.mathnet.ru/tmf5907}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1146427}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 89
\issue 3
\pages 1310--1323
\crossref{https://doi.org/10.1007/BF01017827}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991JA04100009}
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  • https://www.mathnet.ru/eng/tmf5907
  • https://www.mathnet.ru/eng/tmf/v89/i3/p420
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:269
    Full-text PDF :102
    References:56
    First page:1
     
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