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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 029, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.029 (Mi sigma57) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Large-$j$ Expansion Method for Two-Body Dirac Equation

A. Duviryak

Institute for Condensed Matter Physics of National Academy of Sciences of Ukraine, 1 Svientsitskii Str., Lviv, 79011 Ukraine
Full-text PDF (248 kB) Citations (2)
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DOI: https://doi.org/10.3842/SIGMA.2006.029
Abstract: By using symmetry properties, the two-body Dirac equation in coordinate representation is reduced to the coupled pair of radial second-order differential equations. Then the large-$j$ expansion technique is used to solve a bound state problem. Linear-plus-Coulomb potentials of different spin structure are examined in order to describe the asymptotic degeneracy and fine splitting of light meson spectra.
Keywords: Breit equation, two body Dirac equation, large-$N$ expansion, Regge trajectories.
Received: December 1, 2005; in final form February 15, 2006; Published online February 28, 2006
Bibliographic databases:
Document Type: Article
MSC: 81Q05; 81Q15; 81Q20
Language: English
Citation: A. Duviryak, “Large-$j$ Expansion Method for Two-Body Dirac Equation”, SIGMA, 2 (2006), 029, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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