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

  title={Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons ?},
  author={Askold Duviryak},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  • A. Duviryak
  • Published 30 May 2008
  • Physics
  • Symmetry Integrability and Geometry-methods and Applications
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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