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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 048, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.048 (Mi sigma301) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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

Askold Duviryak

Institute for Condensed Matter Physics of National Academy of Sciences of Ukraine, 1 Svientsitskii Str., UA-79011 Lviv, Ukraine
Full-text PDF (644 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2008.048
Abstract: 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.
Keywords: two body Dirac equation; Dirac oscillator; solvable model; Regge trajectories.
Received: October 29, 2007; in final form May 7, 2008; Published online May 30, 2008
Bibliographic databases:
Document Type: Article
MSC: 81Q05; 34A05
Language: English
Citation: Askold Duviryak, “Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons”, SIGMA, 4 (2008), 048, 19 pp.
Citation in format AMSBIB
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\by Askold Duviryak
\paper Solvable Two-Body Dirac Equation as a~Potential Model of Light Mesons
\jour SIGMA
\yr 2008
\vol 4
\papernumber 048
\totalpages 19
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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