Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 029, 12 pages      math-ph/0602066      https://doi.org/10.3842/SIGMA.2006.029

Large-j Expansion Method for Two-Body Dirac Equation

Askold Duviryak
Institute for Condensed Matter Physics of National Academy of Sciences of Ukraine, 1 Svientsitskii Str., Lviv, 79011 Ukraine

Received December 01, 2005, in final form February 15, 2006; Published online February 28, 2006

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.

Key words: Breit equation, two body Dirac equation, large-N expansion, Regge trajectories.

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