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Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons

The two-body Dirac equation with general local potential is reduced to the pair of ordinary second-order differential equations for radial components of a wave function. The class of linear + Coulomb potentials with complicated spin-angular structure is found, for which the equation is exactly solva...

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Main Author: Duviryak, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149034
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spelling irk-123456789-1490342019-02-20T01:28:17Z Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons Duviryak, A. The two-body Dirac equation with general local potential is reduced to the pair of ordinary second-order differential equations for radial components of a wave function. The class of linear + Coulomb potentials with complicated spin-angular structure is found, for which the equation is exactly solvable. On this ground a relativistic potential model of light mesons is constructed and the mass spectrum is calculated. It is compared with experimental data. 2008 Article Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons / A. Duviryak // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 46 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81Q05; 34A05 http://dspace.nbuv.gov.ua/handle/123456789/149034 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description The two-body Dirac equation with general local potential is reduced to the pair of ordinary second-order differential equations for radial components of a wave function. The class of linear + Coulomb potentials with complicated spin-angular structure is found, for which the equation is exactly solvable. On this ground a relativistic potential model of light mesons is constructed and the mass spectrum is calculated. It is compared with experimental data.
format Article
author Duviryak, A.
spellingShingle Duviryak, A.
Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Duviryak, A.
author_sort Duviryak, A.
title Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
title_short Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
title_full Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
title_fullStr Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
title_full_unstemmed Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
title_sort solvable two-body dirac equation as a potential model of light mesons
publisher Інститут математики НАН України
publishDate 2008
url http://dspace.nbuv.gov.ua/handle/123456789/149034
citation_txt Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons / A. Duviryak // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 46 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT duviryaka solvabletwobodydiracequationasapotentialmodeloflightmesons
first_indexed 2023-05-20T17:32:02Z
last_indexed 2023-05-20T17:32:02Z
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