Numerical solution of two-body relativistic equations for the bound-state problem with confining and Coulomb potentials Original Research Article

Recent investigations of the meson spectroscopy often have been based on models considering mesons as quark–antiquark bound states. These models are described by three-dimensional relativistic equations with various generalizations of Coulomb and confining potentials in momentum space. Algorithms and codes are developed for numerical investigations of these equations. The modified Generalized Continuous analogue of the Newton method is used. The numerical results demonstrate the efficiency of the created software. The code allows obtaining a numerical solution with a required accuracy. The numerical results are compared with the same results obtained by other authors.