Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons ?
@article{Duviryak2008SolvableTD,
title={Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons ?},
author={Askold Duviryak},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2008},
volume={4},
pages={048}
}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.
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