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 TMF, 1981, Volume 46, Number 2, Pages 213–224 (Mi tmf2314)

This article is cited in 2 scientific papers (total in 2 papers)

Description of the widths and spectra of the bound states of two relativistic fermions

A. V. Sidorov, N. B. Skachkov

Joint Institute for Nuclear Research, Dubna, Moscow region

Abstract: A formalism is constructed for the relativistic description of a system of two spin $1/2$ particles on the basis of a two-particle three-dimensional covariant quasipotential equation. In a relativistic configuration representation, this equation with one-boson exchange potential is reduced to a system of partial difference equations, this being the relativistic analog of the nonrelativistie Hamada–Johnston system. The WKB method is used to solve the problem of the mass spectrum of the bound states. The exact solution of the relativistic Coulomb two-body problem is used to obtain expressions for the widths of leptonic decays in the quark model.

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English version:
Theoretical and Mathematical Physics, 1981, 46:2, 141–149

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Received: 25.09.1979

Citation: A. V. Sidorov, N. B. Skachkov, “Description of the widths and spectra of the bound states of two relativistic fermions”, TMF, 46:2 (1981), 213–224; Theoret. and Math. Phys., 46:2 (1981), 141–149

Citation in format AMSBIB
\Bibitem{SidSka81} \by A.~V.~Sidorov, N.~B.~Skachkov \paper Description of the widths and spectra of the bound states of two relativistic fermions \jour TMF \yr 1981 \vol 46 \issue 2 \pages 213--224 \mathnet{http://mi.mathnet.ru/tmf2314} \transl \jour Theoret. and Math. Phys. \yr 1981 \vol 46 \issue 2 \pages 141--149 \crossref{https://doi.org/10.1007/BF01030848} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1981NE30200006} 

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This publication is cited in the following articles:
1. Kondratjuk V.V. Chernichenko Yu.D., “Mass Spectrum of Mesons and Their Leptonic Decay Widths Within the Relativistic Quasipotential Approach”, Phys. Atom. Nuclei, 81:1 (2018), 51–61
2. Chernichenko Yu.D., Kondratjuk V.V., “Calculation of Masses Spectrum and Leptonic Widths of Mesons in the Relativistic Quasipotential Approach”, Nonlinear Phenom. Complex Syst., 21:2 (2018), 178–187
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