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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 1, Pages 74–94
DOI: https://doi.org/10.4213/tmf687
(Mi tmf687)
 

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

Extension theory approach to scattering and annihilation in the $\bar pd$ system

Yu. A. Kuperin, S. B. Levin

Saint-Petersburg State University
Full-text PDF (337 kB) Citations (1)
References:
Abstract: We consider the problems of three-particle scattering and annihilation in a system of three strongly interacting charged particles $(\bar ppn)$. We propose a model for the elastic scattering and the breakup process in the nucleon channel as well as for the annihilation into mesons. The mathematical foundation of the model is the extension theory of symmetrical operators. In the framework of this model, we construct the modified integral Faddeev equations with energy-dependent interactions taking the annihilation processes into account. These equations are uniquely resolvable for suitable classes of functions. On this basis, we deduce the corresponding differential Faddeev equations, construct asymptotic boundary conditions for wave function components, and formulate boundary problems for a system composed of nucleonic and mesonic channels. The results obtained are applied to scattering and annihilation processes in the three-particle system $\bar pd$.
Received: 25.06.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 1, Pages 60–76
DOI: https://doi.org/10.1007/BF02557196
Bibliographic databases:
Language: Russian
Citation: Yu. A. Kuperin, S. B. Levin, “Extension theory approach to scattering and annihilation in the $\bar pd$ system”, TMF, 118:1 (1999), 74–94; Theoret. and Math. Phys., 118:1 (1999), 60–76
Citation in format AMSBIB
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\paper Extension theory approach to scattering and annihilation in the $\bar pd$ system
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 1
\pages 60--76
\crossref{https://doi.org/10.1007/BF02557196}
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  • https://www.mathnet.ru/eng/tmf/v118/i1/p74
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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